# What is the Least Common Multiple of 75 and 91?

*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 75 and 91 is **6825**.

LCM(75,91) = 6825

## Least Common Multiple of 75 and 91 with GCF Formula

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

We need to calculate greatest common factor 75 and 91, than apply into the LCM equation.

GCF(75,91) = 1

LCM(75,91) = ( 75 × 91) / 1

LCM(75,91) = 6825 / 1

LCM(75,91) = 6825

## Least Common Multiple (LCM) of 75 and 91 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75 and 91. First we will calculate the **prime factors of 75 and 91**.

### Prime Factorization of 75

Prime factors of 75 are 3, 5. Prime factorization of **75** in exponential form is:

75 = 3^{1} × 5^{2}

### Prime Factorization of 91

Prime factors of 91 are 7, 13. Prime factorization of **91** in exponential form is:

91 = 7^{1} × 13^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 75 and 91**.

LCM(75,91) = 3^{1} × 5^{2} × 7^{1} × 13^{1}

LCM(75,91) = 6825

#### Related Least Common Multiples of 75

#### Related Least Common Multiples of 91

- LCM of 91 and 95
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