What is the Least Common Multiple of 92625 and 92634?

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 92634 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 92634, than apply into the LCM equation.

GCF(92625,92634) = 3
LCM(92625,92634) = ( 92625 × 92634) / 3
LCM(92625,92634) = 8580224250 / 3
LCM(92625,92634) = 2860074750

Least Common Multiple (LCM) of 92625 and 92634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92625 and 92634. First we will calculate the prime factors of 92625 and 92634.

Prime Factorization of 92625

Prime Factorization of 92634

Now multiplying the highest exponent prime factors to calculate the LCM of 92625 and 92634.

LCM(92625,92634) = 3¹ × 5³ × 13¹ × 19¹ × 2¹ × 15439¹
LCM(92625,92634) = 2860074750