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What is the Least Common Multiple of 93632 and 93651?

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 93651 is 461512128.

LCM(93632,93651) = 461512128

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Least Common Multiple of 93632 and 93651 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 93651, than apply into the LCM equation.

GCF(93632,93651) = 19
LCM(93632,93651) = ( 93632 × 93651) / 19
LCM(93632,93651) = 8768730432 / 19
LCM(93632,93651) = 461512128

Least Common Multiple (LCM) of 93632 and 93651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93632 and 93651. First we will calculate the prime factors of 93632 and 93651.

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 93651

Prime factors of 93651 are 3, 19, 31, 53. Prime factorization of 93651 in exponential form is:

93651 = 31 × 191 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 93632 and 93651.

LCM(93632,93651) = 26 × 71 × 111 × 191 × 31 × 311 × 531
LCM(93632,93651) = 461512128