What is the Least Common Multiple of 6036 and 6056?

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 6036 and 6056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6036 and 6056, than apply into the LCM equation.

GCF(6036,6056) = 4
LCM(6036,6056) = ( 6036 × 6056) / 4
LCM(6036,6056) = 36554016 / 4
LCM(6036,6056) = 9138504

Least Common Multiple (LCM) of 6036 and 6056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6036 and 6056. First we will calculate the prime factors of 6036 and 6056.

Prime Factorization of 6036

Prime Factorization of 6056

Now multiplying the highest exponent prime factors to calculate the LCM of 6036 and 6056.

LCM(6036,6056) = 2³ × 3¹ × 503¹ × 757¹
LCM(6036,6056) = 9138504