What is the Least Common Multiple of 92475 and 92480?

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 92480 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 92480, than apply into the LCM equation.

GCF(92475,92480) = 5
LCM(92475,92480) = ( 92475 × 92480) / 5
LCM(92475,92480) = 8552088000 / 5
LCM(92475,92480) = 1710417600

Least Common Multiple (LCM) of 92475 and 92480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92475 and 92480. First we will calculate the prime factors of 92475 and 92480.

Prime Factorization of 92475

Prime Factorization of 92480

Now multiplying the highest exponent prime factors to calculate the LCM of 92475 and 92480.

LCM(92475,92480) = 3³ × 5² × 137¹ × 2⁶ × 17²
LCM(92475,92480) = 1710417600