What is the Least Common Multiple of 92475 and 92495?

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 92475 and 92495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92475 and 92495, than apply into the LCM equation.

GCF(92475,92495) = 5
LCM(92475,92495) = ( 92475 × 92495) / 5
LCM(92475,92495) = 8553475125 / 5
LCM(92475,92495) = 1710695025

Least Common Multiple (LCM) of 92475 and 92495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92475 and 92495. First we will calculate the prime factors of 92475 and 92495.

Prime Factorization of 92475

Prime Factorization of 92495

Now multiplying the highest exponent prime factors to calculate the LCM of 92475 and 92495.

LCM(92475,92495) = 3³ × 5² × 137¹ × 13¹ × 1423¹
LCM(92475,92495) = 1710695025