What is the Least Common Multiple of 87352 and 87371?

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 87352 and 87371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87352 and 87371, than apply into the LCM equation.

GCF(87352,87371) = 1
LCM(87352,87371) = ( 87352 × 87371) / 1
LCM(87352,87371) = 7632031592 / 1
LCM(87352,87371) = 7632031592

Least Common Multiple (LCM) of 87352 and 87371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87352 and 87371. First we will calculate the prime factors of 87352 and 87371.

Prime Factorization of 87352

Prime Factorization of 87371

Now multiplying the highest exponent prime factors to calculate the LCM of 87352 and 87371.

LCM(87352,87371) = 2³ × 61¹ × 179¹ × 41¹ × 2131¹
LCM(87352,87371) = 7632031592