What is the Least Common Multiple of 57478 and 57492?

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 57478 and 57492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57478 and 57492, than apply into the LCM equation.

GCF(57478,57492) = 2
LCM(57478,57492) = ( 57478 × 57492) / 2
LCM(57478,57492) = 3304525176 / 2
LCM(57478,57492) = 1652262588

Least Common Multiple (LCM) of 57478 and 57492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57478 and 57492. First we will calculate the prime factors of 57478 and 57492.

Prime Factorization of 57478

Prime Factorization of 57492

Now multiplying the highest exponent prime factors to calculate the LCM of 57478 and 57492.

LCM(57478,57492) = 2² × 29¹ × 991¹ × 3² × 1597¹
LCM(57478,57492) = 1652262588