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What is the Least Common Multiple of 93616 and 93632?

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 93616 and 93632 is 547840832.

LCM(93616,93632) = 547840832

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Least Common Multiple of 93616 and 93632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93616 and 93632, than apply into the LCM equation.

GCF(93616,93632) = 16
LCM(93616,93632) = ( 93616 × 93632) / 16
LCM(93616,93632) = 8765453312 / 16
LCM(93616,93632) = 547840832

Least Common Multiple (LCM) of 93616 and 93632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93616 and 93632. First we will calculate the prime factors of 93616 and 93632.

Prime Factorization of 93616

Prime factors of 93616 are 2, 5851. Prime factorization of 93616 in exponential form is:

93616 = 24 × 58511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 93616 and 93632.

LCM(93616,93632) = 26 × 58511 × 71 × 111 × 191
LCM(93616,93632) = 547840832