What is the Least Common Multiple of 56420 and 56428?

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 56420 and 56428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56420 and 56428, than apply into the LCM equation.

GCF(56420,56428) = 4
LCM(56420,56428) = ( 56420 × 56428) / 4
LCM(56420,56428) = 3183667760 / 4
LCM(56420,56428) = 795916940

Least Common Multiple (LCM) of 56420 and 56428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56420 and 56428. First we will calculate the prime factors of 56420 and 56428.

Prime Factorization of 56420

Prime Factorization of 56428

Now multiplying the highest exponent prime factors to calculate the LCM of 56420 and 56428.

LCM(56420,56428) = 2² × 5¹ × 7¹ × 13¹ × 31¹ × 14107¹
LCM(56420,56428) = 795916940