What is the Least Common Multiple of 56478 and 56492?

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 56478 and 56492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56478 and 56492, than apply into the LCM equation.

GCF(56478,56492) = 2
LCM(56478,56492) = ( 56478 × 56492) / 2
LCM(56478,56492) = 3190555176 / 2
LCM(56478,56492) = 1595277588

Least Common Multiple (LCM) of 56478 and 56492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56478 and 56492. First we will calculate the prime factors of 56478 and 56492.

Prime Factorization of 56478

Prime Factorization of 56492

Now multiplying the highest exponent prime factors to calculate the LCM of 56478 and 56492.

LCM(56478,56492) = 2² × 3¹ × 9413¹ × 29¹ × 487¹
LCM(56478,56492) = 1595277588