What is the Least Common Multiple of 86910 and 86925?

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 86910 and 86925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86910 and 86925, than apply into the LCM equation.

GCF(86910,86925) = 15
LCM(86910,86925) = ( 86910 × 86925) / 15
LCM(86910,86925) = 7554651750 / 15
LCM(86910,86925) = 503643450

Least Common Multiple (LCM) of 86910 and 86925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86910 and 86925. First we will calculate the prime factors of 86910 and 86925.

Prime Factorization of 86910

Prime Factorization of 86925

Now multiplying the highest exponent prime factors to calculate the LCM of 86910 and 86925.

LCM(86910,86925) = 2¹ × 3¹ × 5² × 2897¹ × 19¹ × 61¹
LCM(86910,86925) = 503643450