# What is the Least Common Multiple of 78 and 97?

*Least common multiple* or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 78 and 97 is **7566**.

LCM(78,97) = 7566

## Least Common Multiple of 78 and 97 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 78 and 97, than apply into the LCM equation.

GCF(78,97) = 1

LCM(78,97) = ( 78 × 97) / 1

LCM(78,97) = 7566 / 1

LCM(78,97) = 7566

## Least Common Multiple (LCM) of 78 and 97 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78 and 97. First we will calculate the **prime factors of 78 and 97**.

### Prime Factorization of 78

Prime factors of 78 are 2, 3, 13. Prime factorization of **78** in exponential form is:

78 = 2^{1} × 3^{1} × 13^{1}

### Prime Factorization of 97

Prime factors of 97 are 97. Prime factorization of **97** in exponential form is:

97 = 97^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 78 and 97**.

LCM(78,97) = 2^{1} × 3^{1} × 13^{1} × 97^{1}

LCM(78,97) = 7566

#### Related Least Common Multiples of 78

#### Related Least Common Multiples of 97

- LCM of 97 and 101
- LCM of 97 and 102
- LCM of 97 and 103
- LCM of 97 and 104
- LCM of 97 and 105
- LCM of 97 and 106
- LCM of 97 and 107
- LCM of 97 and 108
- LCM of 97 and 109
- LCM of 97 and 110
- LCM of 97 and 111
- LCM of 97 and 112
- LCM of 97 and 113
- LCM of 97 and 114
- LCM of 97 and 115
- LCM of 97 and 116
- LCM of 97 and 117