What is the Least Common Multiple of 92478 and 92492?

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 92478 and 92492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92478 and 92492, than apply into the LCM equation.

GCF(92478,92492) = 2
LCM(92478,92492) = ( 92478 × 92492) / 2
LCM(92478,92492) = 8553475176 / 2
LCM(92478,92492) = 4276737588

Least Common Multiple (LCM) of 92478 and 92492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92478 and 92492. First we will calculate the prime factors of 92478 and 92492.

Prime Factorization of 92478

Prime Factorization of 92492

Now multiplying the highest exponent prime factors to calculate the LCM of 92478 and 92492.

LCM(92478,92492) = 2² × 3¹ × 15413¹ × 19¹ × 1217¹
LCM(92478,92492) = 4276737588