What is the Least Common Multiple of 57726 and 57737?

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 57726 and 57737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57726 and 57737, than apply into the LCM equation.

GCF(57726,57737) = 1
LCM(57726,57737) = ( 57726 × 57737) / 1
LCM(57726,57737) = 3332926062 / 1
LCM(57726,57737) = 3332926062

Least Common Multiple (LCM) of 57726 and 57737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57726 and 57737. First we will calculate the prime factors of 57726 and 57737.

Prime Factorization of 57726

Prime Factorization of 57737

Now multiplying the highest exponent prime factors to calculate the LCM of 57726 and 57737.

LCM(57726,57737) = 2¹ × 3³ × 1069¹ × 57737¹
LCM(57726,57737) = 3332926062