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What is the Least Common Multiple of 93972 and 93992?

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 93972 and 93992 is 2208154056.

LCM(93972,93992) = 2208154056

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Least Common Multiple of 93972 and 93992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93972 and 93992, than apply into the LCM equation.

GCF(93972,93992) = 4
LCM(93972,93992) = ( 93972 × 93992) / 4
LCM(93972,93992) = 8832616224 / 4
LCM(93972,93992) = 2208154056

Least Common Multiple (LCM) of 93972 and 93992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93972 and 93992. First we will calculate the prime factors of 93972 and 93992.

Prime Factorization of 93972

Prime factors of 93972 are 2, 3, 41, 191. Prime factorization of 93972 in exponential form is:

93972 = 22 × 31 × 411 × 1911

Prime Factorization of 93992

Prime factors of 93992 are 2, 31, 379. Prime factorization of 93992 in exponential form is:

93992 = 23 × 311 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 93972 and 93992.

LCM(93972,93992) = 23 × 31 × 411 × 1911 × 311 × 3791
LCM(93972,93992) = 2208154056