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What is the Least Common Multiple of 94952 and 94961?

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 94952 and 94961 is 9016736872.

LCM(94952,94961) = 9016736872

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Least Common Multiple of 94952 and 94961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94952 and 94961, than apply into the LCM equation.

GCF(94952,94961) = 1
LCM(94952,94961) = ( 94952 × 94961) / 1
LCM(94952,94961) = 9016736872 / 1
LCM(94952,94961) = 9016736872

Least Common Multiple (LCM) of 94952 and 94961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94952 and 94961. First we will calculate the prime factors of 94952 and 94961.

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

Prime Factorization of 94961

Prime factors of 94961 are 94961. Prime factorization of 94961 in exponential form is:

94961 = 949611

Now multiplying the highest exponent prime factors to calculate the LCM of 94952 and 94961.

LCM(94952,94961) = 23 × 111 × 131 × 831 × 949611
LCM(94952,94961) = 9016736872