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What is the Least Common Multiple of 94936 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 94936 and 94952 is 1126795384.

LCM(94936,94952) = 1126795384

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Least Common Multiple of 94936 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 94936 and 94952, than apply into the LCM equation.

GCF(94936,94952) = 8
LCM(94936,94952) = ( 94936 × 94952) / 8
LCM(94936,94952) = 9014363072 / 8
LCM(94936,94952) = 1126795384

Least Common Multiple (LCM) of 94936 and 94952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94936 and 94952. First we will calculate the prime factors of 94936 and 94952.

Prime Factorization of 94936

Prime factors of 94936 are 2, 11867. Prime factorization of 94936 in exponential form is:

94936 = 23 × 118671

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 94936 and 94952.

LCM(94936,94952) = 23 × 118671 × 111 × 131 × 831
LCM(94936,94952) = 1126795384