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What is the Least Common Multiple of 94758 and 94770?

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 94758 and 94770 is 1496702610.

LCM(94758,94770) = 1496702610

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Least Common Multiple of 94758 and 94770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94758 and 94770, than apply into the LCM equation.

GCF(94758,94770) = 6
LCM(94758,94770) = ( 94758 × 94770) / 6
LCM(94758,94770) = 8980215660 / 6
LCM(94758,94770) = 1496702610

Least Common Multiple (LCM) of 94758 and 94770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94758 and 94770. First we will calculate the prime factors of 94758 and 94770.

Prime Factorization of 94758

Prime factors of 94758 are 2, 3, 17, 929. Prime factorization of 94758 in exponential form is:

94758 = 21 × 31 × 171 × 9291

Prime Factorization of 94770

Prime factors of 94770 are 2, 3, 5, 13. Prime factorization of 94770 in exponential form is:

94770 = 21 × 36 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 94758 and 94770.

LCM(94758,94770) = 21 × 36 × 171 × 9291 × 51 × 131
LCM(94758,94770) = 1496702610