What is the Least Common Multiple of 57604 and 57622?

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 57604 and 57622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57604 and 57622, than apply into the LCM equation.

GCF(57604,57622) = 2
LCM(57604,57622) = ( 57604 × 57622) / 2
LCM(57604,57622) = 3319257688 / 2
LCM(57604,57622) = 1659628844

Least Common Multiple (LCM) of 57604 and 57622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57604 and 57622. First we will calculate the prime factors of 57604 and 57622.

Prime Factorization of 57604

Prime Factorization of 57622

Now multiplying the highest exponent prime factors to calculate the LCM of 57604 and 57622.

LCM(57604,57622) = 2² × 14401¹ × 47¹ × 613¹
LCM(57604,57622) = 1659628844