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What is the Least Common Multiple of 94596 and 94610?

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 94596 and 94610 is 4474863780.

LCM(94596,94610) = 4474863780

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Least Common Multiple of 94596 and 94610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94596 and 94610, than apply into the LCM equation.

GCF(94596,94610) = 2
LCM(94596,94610) = ( 94596 × 94610) / 2
LCM(94596,94610) = 8949727560 / 2
LCM(94596,94610) = 4474863780

Least Common Multiple (LCM) of 94596 and 94610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94596 and 94610. First we will calculate the prime factors of 94596 and 94610.

Prime Factorization of 94596

Prime factors of 94596 are 2, 3, 7883. Prime factorization of 94596 in exponential form is:

94596 = 22 × 31 × 78831

Prime Factorization of 94610

Prime factors of 94610 are 2, 5, 9461. Prime factorization of 94610 in exponential form is:

94610 = 21 × 51 × 94611

Now multiplying the highest exponent prime factors to calculate the LCM of 94596 and 94610.

LCM(94596,94610) = 22 × 31 × 78831 × 51 × 94611
LCM(94596,94610) = 4474863780