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What is the Least Common Multiple of 37636 and 37656?

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 37636 and 37656 is 354305304.

LCM(37636,37656) = 354305304

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Least Common Multiple of 37636 and 37656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37636 and 37656, than apply into the LCM equation.

GCF(37636,37656) = 4
LCM(37636,37656) = ( 37636 × 37656) / 4
LCM(37636,37656) = 1417221216 / 4
LCM(37636,37656) = 354305304

Least Common Multiple (LCM) of 37636 and 37656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37636 and 37656. First we will calculate the prime factors of 37636 and 37656.

Prime Factorization of 37636

Prime factors of 37636 are 2, 97. Prime factorization of 37636 in exponential form is:

37636 = 22 × 972

Prime Factorization of 37656

Prime factors of 37656 are 2, 3, 523. Prime factorization of 37656 in exponential form is:

37656 = 23 × 32 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 37636 and 37656.

LCM(37636,37656) = 23 × 972 × 32 × 5231
LCM(37636,37656) = 354305304