# What is the Least Common Multiple of 75 and 94?

*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 94 is **7050**.

LCM(75,94) = 7050

## Least Common Multiple of 75 and 94 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 94, than apply into the LCM equation.

GCF(75,94) = 1

LCM(75,94) = ( 75 × 94) / 1

LCM(75,94) = 7050 / 1

LCM(75,94) = 7050

## Least Common Multiple (LCM) of 75 and 94 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75 and 94. First we will calculate the **prime factors of 75 and 94**.

### 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 94

Prime factors of 94 are 2, 47. Prime factorization of **94** in exponential form is:

94 = 2^{1} × 47^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 75 and 94**.

LCM(75,94) = 3^{1} × 5^{2} × 2^{1} × 47^{1}

LCM(75,94) = 7050

#### Related Least Common Multiples of 75

#### Related Least Common Multiples of 94

- LCM of 94 and 98
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- LCM of 94 and 100
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- LCM of 94 and 102
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- LCM of 94 and 105
- LCM of 94 and 106
- LCM of 94 and 107
- LCM of 94 and 108
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- LCM of 94 and 112
- LCM of 94 and 113
- LCM of 94 and 114