What is the Least Common Multiple of 92625 and 92644?

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 92644 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 92644, than apply into the LCM equation.

GCF(92625,92644) = 19
LCM(92625,92644) = ( 92625 × 92644) / 19
LCM(92625,92644) = 8581150500 / 19
LCM(92625,92644) = 451639500

Least Common Multiple (LCM) of 92625 and 92644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92625 and 92644. First we will calculate the prime factors of 92625 and 92644.

Prime Factorization of 92625

Prime Factorization of 92644

Now multiplying the highest exponent prime factors to calculate the LCM of 92625 and 92644.

LCM(92625,92644) = 3¹ × 5³ × 13¹ × 19¹ × 2² × 23¹ × 53¹
LCM(92625,92644) = 451639500