What is the Least Common Multiple of 92625 and 92631?

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 92625 and 92631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92625 and 92631, than apply into the LCM equation.

GCF(92625,92631) = 3
LCM(92625,92631) = ( 92625 × 92631) / 3
LCM(92625,92631) = 8579946375 / 3
LCM(92625,92631) = 2859982125

Least Common Multiple (LCM) of 92625 and 92631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92625 and 92631. First we will calculate the prime factors of 92625 and 92631.

Prime Factorization of 92625

Prime Factorization of 92631

Now multiplying the highest exponent prime factors to calculate the LCM of 92625 and 92631.

LCM(92625,92631) = 3¹ × 5³ × 13¹ × 19¹ × 7¹ × 11¹ × 401¹
LCM(92625,92631) = 2859982125