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What is the Least Common Multiple of 93939 and 93952?

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 93939 and 93952 is 8825756928.

LCM(93939,93952) = 8825756928

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Least Common Multiple of 93939 and 93952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93939 and 93952, than apply into the LCM equation.

GCF(93939,93952) = 1
LCM(93939,93952) = ( 93939 × 93952) / 1
LCM(93939,93952) = 8825756928 / 1
LCM(93939,93952) = 8825756928

Least Common Multiple (LCM) of 93939 and 93952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93939 and 93952. First we will calculate the prime factors of 93939 and 93952.

Prime Factorization of 93939

Prime factors of 93939 are 3, 173, 181. Prime factorization of 93939 in exponential form is:

93939 = 31 × 1731 × 1811

Prime Factorization of 93952

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

93952 = 28 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 93939 and 93952.

LCM(93939,93952) = 31 × 1731 × 1811 × 28 × 3671
LCM(93939,93952) = 8825756928