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What is the Least Common Multiple of 87371 and 87382?

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 87371 and 87382 is 7634652722.

LCM(87371,87382) = 7634652722

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Least Common Multiple of 87371 and 87382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87371 and 87382, than apply into the LCM equation.

GCF(87371,87382) = 1
LCM(87371,87382) = ( 87371 × 87382) / 1
LCM(87371,87382) = 7634652722 / 1
LCM(87371,87382) = 7634652722

Least Common Multiple (LCM) of 87371 and 87382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87371 and 87382. First we will calculate the prime factors of 87371 and 87382.

Prime Factorization of 87371

Prime factors of 87371 are 41, 2131. Prime factorization of 87371 in exponential form is:

87371 = 411 × 21311

Prime Factorization of 87382

Prime factors of 87382 are 2, 43691. Prime factorization of 87382 in exponential form is:

87382 = 21 × 436911

Now multiplying the highest exponent prime factors to calculate the LCM of 87371 and 87382.

LCM(87371,87382) = 411 × 21311 × 21 × 436911
LCM(87371,87382) = 7634652722