What is the Least Common Multiple of 92610 and 92625?

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 92610 and 92625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92610 and 92625, than apply into the LCM equation.

GCF(92610,92625) = 15
LCM(92610,92625) = ( 92610 × 92625) / 15
LCM(92610,92625) = 8578001250 / 15
LCM(92610,92625) = 571866750

Least Common Multiple (LCM) of 92610 and 92625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92610 and 92625. First we will calculate the prime factors of 92610 and 92625.

Prime Factorization of 92610

Prime Factorization of 92625

Now multiplying the highest exponent prime factors to calculate the LCM of 92610 and 92625.

LCM(92610,92625) = 2¹ × 3³ × 5³ × 7³ × 13¹ × 19¹
LCM(92610,92625) = 571866750