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What is the Least Common Multiple of 27615 and 27632?

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 27615 and 27632 is 763057680.

LCM(27615,27632) = 763057680

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Least Common Multiple of 27615 and 27632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27615 and 27632, than apply into the LCM equation.

GCF(27615,27632) = 1
LCM(27615,27632) = ( 27615 × 27632) / 1
LCM(27615,27632) = 763057680 / 1
LCM(27615,27632) = 763057680

Least Common Multiple (LCM) of 27615 and 27632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27615 and 27632. First we will calculate the prime factors of 27615 and 27632.

Prime Factorization of 27615

Prime factors of 27615 are 3, 5, 7, 263. Prime factorization of 27615 in exponential form is:

27615 = 31 × 51 × 71 × 2631

Prime Factorization of 27632

Prime factors of 27632 are 2, 11, 157. Prime factorization of 27632 in exponential form is:

27632 = 24 × 111 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 27615 and 27632.

LCM(27615,27632) = 31 × 51 × 71 × 2631 × 24 × 111 × 1571
LCM(27615,27632) = 763057680