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What is the Least Common Multiple of 93672 and 93677?

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 93672 and 93677 is 8774911944.

LCM(93672,93677) = 8774911944

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Least Common Multiple of 93672 and 93677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93672 and 93677, than apply into the LCM equation.

GCF(93672,93677) = 1
LCM(93672,93677) = ( 93672 × 93677) / 1
LCM(93672,93677) = 8774911944 / 1
LCM(93672,93677) = 8774911944

Least Common Multiple (LCM) of 93672 and 93677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93672 and 93677. First we will calculate the prime factors of 93672 and 93677.

Prime Factorization of 93672

Prime factors of 93672 are 2, 3, 1301. Prime factorization of 93672 in exponential form is:

93672 = 23 × 32 × 13011

Prime Factorization of 93677

Prime factors of 93677 are 113, 829. Prime factorization of 93677 in exponential form is:

93677 = 1131 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 93672 and 93677.

LCM(93672,93677) = 23 × 32 × 13011 × 1131 × 8291
LCM(93672,93677) = 8774911944