What is the Least Common Multiple of 56028 and 56047?

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 56028 and 56047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56028 and 56047, than apply into the LCM equation.

GCF(56028,56047) = 1
LCM(56028,56047) = ( 56028 × 56047) / 1
LCM(56028,56047) = 3140201316 / 1
LCM(56028,56047) = 3140201316

Least Common Multiple (LCM) of 56028 and 56047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56028 and 56047. First we will calculate the prime factors of 56028 and 56047.

Prime Factorization of 56028

Prime Factorization of 56047

Now multiplying the highest exponent prime factors to calculate the LCM of 56028 and 56047.

LCM(56028,56047) = 2² × 3¹ × 7¹ × 23¹ × 29¹ × 41¹ × 1367¹
LCM(56028,56047) = 3140201316