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What is the Least Common Multiple of 28624 and 28637?

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 28624 and 28637 is 819705488.

LCM(28624,28637) = 819705488

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Least Common Multiple of 28624 and 28637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28624 and 28637, than apply into the LCM equation.

GCF(28624,28637) = 1
LCM(28624,28637) = ( 28624 × 28637) / 1
LCM(28624,28637) = 819705488 / 1
LCM(28624,28637) = 819705488

Least Common Multiple (LCM) of 28624 and 28637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28624 and 28637. First we will calculate the prime factors of 28624 and 28637.

Prime Factorization of 28624

Prime factors of 28624 are 2, 1789. Prime factorization of 28624 in exponential form is:

28624 = 24 × 17891

Prime Factorization of 28637

Prime factors of 28637 are 7, 4091. Prime factorization of 28637 in exponential form is:

28637 = 71 × 40911

Now multiplying the highest exponent prime factors to calculate the LCM of 28624 and 28637.

LCM(28624,28637) = 24 × 17891 × 71 × 40911
LCM(28624,28637) = 819705488