What is the Least Common Multiple of 92475 and 92493?

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 92493 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 92493, than apply into the LCM equation.

GCF(92475,92493) = 9
LCM(92475,92493) = ( 92475 × 92493) / 9
LCM(92475,92493) = 8553290175 / 9
LCM(92475,92493) = 950365575

Least Common Multiple (LCM) of 92475 and 92493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92475 and 92493. First we will calculate the prime factors of 92475 and 92493.

Prime Factorization of 92475

Prime Factorization of 92493

Now multiplying the highest exponent prime factors to calculate the LCM of 92475 and 92493.

LCM(92475,92493) = 3³ × 5² × 137¹ × 43¹ × 239¹
LCM(92475,92493) = 950365575