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What is the Least Common Multiple of 93632 and 93637?

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 93632 and 93637 is 8767419584.

LCM(93632,93637) = 8767419584

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Least Common Multiple of 93632 and 93637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93632 and 93637, than apply into the LCM equation.

GCF(93632,93637) = 1
LCM(93632,93637) = ( 93632 × 93637) / 1
LCM(93632,93637) = 8767419584 / 1
LCM(93632,93637) = 8767419584

Least Common Multiple (LCM) of 93632 and 93637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93632 and 93637. First we will calculate the prime factors of 93632 and 93637.

Prime Factorization of 93632

Prime factors of 93632 are 2, 7, 11, 19. Prime factorization of 93632 in exponential form is:

93632 = 26 × 71 × 111 × 191

Prime Factorization of 93637

Prime factors of 93637 are 93637. Prime factorization of 93637 in exponential form is:

93637 = 936371

Now multiplying the highest exponent prime factors to calculate the LCM of 93632 and 93637.

LCM(93632,93637) = 26 × 71 × 111 × 191 × 936371
LCM(93632,93637) = 8767419584