What is the Least Common Multiple of 56730 and 56737?

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 56730 and 56737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56730 and 56737, than apply into the LCM equation.

GCF(56730,56737) = 1
LCM(56730,56737) = ( 56730 × 56737) / 1
LCM(56730,56737) = 3218690010 / 1
LCM(56730,56737) = 3218690010

Least Common Multiple (LCM) of 56730 and 56737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56730 and 56737. First we will calculate the prime factors of 56730 and 56737.

Prime Factorization of 56730

Prime Factorization of 56737

Now multiplying the highest exponent prime factors to calculate the LCM of 56730 and 56737.

LCM(56730,56737) = 2¹ × 3¹ × 5¹ × 31¹ × 61¹ × 56737¹
LCM(56730,56737) = 3218690010