What is the Least Common Multiple of 92450 and 92462?

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 92450 and 92462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92450 and 92462, than apply into the LCM equation.

GCF(92450,92462) = 2
LCM(92450,92462) = ( 92450 × 92462) / 2
LCM(92450,92462) = 8548111900 / 2
LCM(92450,92462) = 4274055950

Least Common Multiple (LCM) of 92450 and 92462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92450 and 92462. First we will calculate the prime factors of 92450 and 92462.

Prime Factorization of 92450

Prime Factorization of 92462

Now multiplying the highest exponent prime factors to calculate the LCM of 92450 and 92462.

LCM(92450,92462) = 2¹ × 5² × 43² × 83¹ × 557¹
LCM(92450,92462) = 4274055950