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What is the Least Common Multiple of 93952 and 93959?

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 93952 and 93959 is 8827635968.

LCM(93952,93959) = 8827635968

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Least Common Multiple of 93952 and 93959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93952 and 93959, than apply into the LCM equation.

GCF(93952,93959) = 1
LCM(93952,93959) = ( 93952 × 93959) / 1
LCM(93952,93959) = 8827635968 / 1
LCM(93952,93959) = 8827635968

Least Common Multiple (LCM) of 93952 and 93959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93952 and 93959. First we will calculate the prime factors of 93952 and 93959.

Prime Factorization of 93952

Prime factors of 93952 are 2, 367. Prime factorization of 93952 in exponential form is:

93952 = 28 × 3671

Prime Factorization of 93959

Prime factors of 93959 are 17, 5527. Prime factorization of 93959 in exponential form is:

93959 = 171 × 55271

Now multiplying the highest exponent prime factors to calculate the LCM of 93952 and 93959.

LCM(93952,93959) = 28 × 3671 × 171 × 55271
LCM(93952,93959) = 8827635968