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What is the Least Common Multiple of 93663 and 93676?

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 93663 and 93676 is 8773975188.

LCM(93663,93676) = 8773975188

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Least Common Multiple of 93663 and 93676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93663 and 93676, than apply into the LCM equation.

GCF(93663,93676) = 1
LCM(93663,93676) = ( 93663 × 93676) / 1
LCM(93663,93676) = 8773975188 / 1
LCM(93663,93676) = 8773975188

Least Common Multiple (LCM) of 93663 and 93676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93663 and 93676. First we will calculate the prime factors of 93663 and 93676.

Prime Factorization of 93663

Prime factors of 93663 are 3, 3469. Prime factorization of 93663 in exponential form is:

93663 = 33 × 34691

Prime Factorization of 93676

Prime factors of 93676 are 2, 11, 2129. Prime factorization of 93676 in exponential form is:

93676 = 22 × 111 × 21291

Now multiplying the highest exponent prime factors to calculate the LCM of 93663 and 93676.

LCM(93663,93676) = 33 × 34691 × 22 × 111 × 21291
LCM(93663,93676) = 8773975188