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What is the Least Common Multiple of 4372 and 4388?

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 4372 and 4388 is 4796084.

LCM(4372,4388) = 4796084

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Least Common Multiple of 4372 and 4388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4372 and 4388, than apply into the LCM equation.

GCF(4372,4388) = 4
LCM(4372,4388) = ( 4372 × 4388) / 4
LCM(4372,4388) = 19184336 / 4
LCM(4372,4388) = 4796084

Least Common Multiple (LCM) of 4372 and 4388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4372 and 4388. First we will calculate the prime factors of 4372 and 4388.

Prime Factorization of 4372

Prime factors of 4372 are 2, 1093. Prime factorization of 4372 in exponential form is:

4372 = 22 × 10931

Prime Factorization of 4388

Prime factors of 4388 are 2, 1097. Prime factorization of 4388 in exponential form is:

4388 = 22 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 4372 and 4388.

LCM(4372,4388) = 22 × 10931 × 10971
LCM(4372,4388) = 4796084