What is the Least Common Multiple of 57720 and 57730?

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 57720 and 57730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57720 and 57730, than apply into the LCM equation.

GCF(57720,57730) = 10
LCM(57720,57730) = ( 57720 × 57730) / 10
LCM(57720,57730) = 3332175600 / 10
LCM(57720,57730) = 333217560

Least Common Multiple (LCM) of 57720 and 57730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57720 and 57730. First we will calculate the prime factors of 57720 and 57730.

Prime Factorization of 57720

Prime Factorization of 57730

Now multiplying the highest exponent prime factors to calculate the LCM of 57720 and 57730.

LCM(57720,57730) = 2³ × 3¹ × 5¹ × 13¹ × 37¹ × 23¹ × 251¹
LCM(57720,57730) = 333217560