What is the Least Common Multiple of 56728 and 56740?

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 56728 and 56740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56728 and 56740, than apply into the LCM equation.

GCF(56728,56740) = 4
LCM(56728,56740) = ( 56728 × 56740) / 4
LCM(56728,56740) = 3218746720 / 4
LCM(56728,56740) = 804686680

Least Common Multiple (LCM) of 56728 and 56740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56728 and 56740. First we will calculate the prime factors of 56728 and 56740.

Prime Factorization of 56728

Prime Factorization of 56740

Now multiplying the highest exponent prime factors to calculate the LCM of 56728 and 56740.

LCM(56728,56740) = 2³ × 7¹ × 1013¹ × 5¹ × 2837¹
LCM(56728,56740) = 804686680