What is the Least Common Multiple of 7056 and 7076?

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 7056 and 7076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7056 and 7076, than apply into the LCM equation.

GCF(7056,7076) = 4
LCM(7056,7076) = ( 7056 × 7076) / 4
LCM(7056,7076) = 49928256 / 4
LCM(7056,7076) = 12482064

Least Common Multiple (LCM) of 7056 and 7076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7056 and 7076. First we will calculate the prime factors of 7056 and 7076.

Prime Factorization of 7056

Prime Factorization of 7076

Now multiplying the highest exponent prime factors to calculate the LCM of 7056 and 7076.

LCM(7056,7076) = 2⁴ × 3² × 7² × 29¹ × 61¹
LCM(7056,7076) = 12482064