What is the Least Common Multiple of 87371 and 87378?

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 of 87371 and 87378 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 87378, than apply into the LCM equation.

GCF(87371,87378) = 1
LCM(87371,87378) = ( 87371 × 87378) / 1
LCM(87371,87378) = 7634303238 / 1
LCM(87371,87378) = 7634303238

Least Common Multiple (LCM) of 87371 and 87378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87371 and 87378. First we will calculate the prime factors of 87371 and 87378.

Prime Factorization of 87371

Prime Factorization of 87378

Now multiplying the highest exponent prime factors to calculate the LCM of 87371 and 87378.

LCM(87371,87378) = 41¹ × 2131¹ × 2¹ × 3¹ × 14563¹
LCM(87371,87378) = 7634303238