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What is the Least Common Multiple of 93620 and 93636?

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 93620 and 93636 is 2191550580.

LCM(93620,93636) = 2191550580

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Least Common Multiple of 93620 and 93636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93620 and 93636, than apply into the LCM equation.

GCF(93620,93636) = 4
LCM(93620,93636) = ( 93620 × 93636) / 4
LCM(93620,93636) = 8766202320 / 4
LCM(93620,93636) = 2191550580

Least Common Multiple (LCM) of 93620 and 93636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93620 and 93636. First we will calculate the prime factors of 93620 and 93636.

Prime Factorization of 93620

Prime factors of 93620 are 2, 5, 31, 151. Prime factorization of 93620 in exponential form is:

93620 = 22 × 51 × 311 × 1511

Prime Factorization of 93636

Prime factors of 93636 are 2, 3, 17. Prime factorization of 93636 in exponential form is:

93636 = 22 × 34 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 93620 and 93636.

LCM(93620,93636) = 22 × 51 × 311 × 1511 × 34 × 172
LCM(93620,93636) = 2191550580