What is the Least Common Multiple of 57628 and 57635?

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 57628 and 57635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57628 and 57635, than apply into the LCM equation.

GCF(57628,57635) = 1
LCM(57628,57635) = ( 57628 × 57635) / 1
LCM(57628,57635) = 3321389780 / 1
LCM(57628,57635) = 3321389780

Least Common Multiple (LCM) of 57628 and 57635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57628 and 57635. First we will calculate the prime factors of 57628 and 57635.

Prime Factorization of 57628

Prime Factorization of 57635

Now multiplying the highest exponent prime factors to calculate the LCM of 57628 and 57635.

LCM(57628,57635) = 2² × 14407¹ × 5¹ × 11527¹
LCM(57628,57635) = 3321389780