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What is the Least Common Multiple of 93952 and 93964?

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 93964 is 2207026432.

LCM(93952,93964) = 2207026432

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Least Common Multiple of 93952 and 93964 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 93964, than apply into the LCM equation.

GCF(93952,93964) = 4
LCM(93952,93964) = ( 93952 × 93964) / 4
LCM(93952,93964) = 8828105728 / 4
LCM(93952,93964) = 2207026432

Least Common Multiple (LCM) of 93952 and 93964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93952 and 93964. First we will calculate the prime factors of 93952 and 93964.

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 93964

Prime factors of 93964 are 2, 13, 139. Prime factorization of 93964 in exponential form is:

93964 = 22 × 132 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 93952 and 93964.

LCM(93952,93964) = 28 × 3671 × 132 × 1391
LCM(93952,93964) = 2207026432