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What is the Least Common Multiple of 94934 and 94952?

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 94934 and 94952 is 4507086584.

LCM(94934,94952) = 4507086584

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Least Common Multiple of 94934 and 94952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94934 and 94952, than apply into the LCM equation.

GCF(94934,94952) = 2
LCM(94934,94952) = ( 94934 × 94952) / 2
LCM(94934,94952) = 9014173168 / 2
LCM(94934,94952) = 4507086584

Least Common Multiple (LCM) of 94934 and 94952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94934 and 94952. First we will calculate the prime factors of 94934 and 94952.

Prime Factorization of 94934

Prime factors of 94934 are 2, 7, 6781. Prime factorization of 94934 in exponential form is:

94934 = 21 × 71 × 67811

Prime Factorization of 94952

Prime factors of 94952 are 2, 11, 13, 83. Prime factorization of 94952 in exponential form is:

94952 = 23 × 111 × 131 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 94934 and 94952.

LCM(94934,94952) = 23 × 71 × 67811 × 111 × 131 × 831
LCM(94934,94952) = 4507086584