What is the Least Common Multiple of 86925 and 86934?

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 86925 and 86934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86925 and 86934, than apply into the LCM equation.

GCF(86925,86934) = 3
LCM(86925,86934) = ( 86925 × 86934) / 3
LCM(86925,86934) = 7556737950 / 3
LCM(86925,86934) = 2518912650

Least Common Multiple (LCM) of 86925 and 86934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86925 and 86934. First we will calculate the prime factors of 86925 and 86934.

Prime Factorization of 86925

Prime Factorization of 86934

Now multiplying the highest exponent prime factors to calculate the LCM of 86925 and 86934.

LCM(86925,86934) = 3¹ × 5² × 19¹ × 61¹ × 2¹ × 14489¹
LCM(86925,86934) = 2518912650