What is the Least Common Multiple of 92360 and 92376?

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 92360 and 92376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92360 and 92376, than apply into the LCM equation.

GCF(92360,92376) = 8
LCM(92360,92376) = ( 92360 × 92376) / 8
LCM(92360,92376) = 8531847360 / 8
LCM(92360,92376) = 1066480920

Least Common Multiple (LCM) of 92360 and 92376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92360 and 92376. First we will calculate the prime factors of 92360 and 92376.

Prime Factorization of 92360

Prime Factorization of 92376

Now multiplying the highest exponent prime factors to calculate the LCM of 92360 and 92376.

LCM(92360,92376) = 2³ × 5¹ × 2309¹ × 3² × 1283¹
LCM(92360,92376) = 1066480920