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What is the Least Common Multiple of 93496 and 93512?

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 93496 and 93512 is 1092874744.

LCM(93496,93512) = 1092874744

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Least Common Multiple of 93496 and 93512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93496 and 93512, than apply into the LCM equation.

GCF(93496,93512) = 8
LCM(93496,93512) = ( 93496 × 93512) / 8
LCM(93496,93512) = 8742997952 / 8
LCM(93496,93512) = 1092874744

Least Common Multiple (LCM) of 93496 and 93512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93496 and 93512. First we will calculate the prime factors of 93496 and 93512.

Prime Factorization of 93496

Prime factors of 93496 are 2, 13, 29, 31. Prime factorization of 93496 in exponential form is:

93496 = 23 × 131 × 291 × 311

Prime Factorization of 93512

Prime factors of 93512 are 2, 11689. Prime factorization of 93512 in exponential form is:

93512 = 23 × 116891

Now multiplying the highest exponent prime factors to calculate the LCM of 93496 and 93512.

LCM(93496,93512) = 23 × 131 × 291 × 311 × 116891
LCM(93496,93512) = 1092874744