What is the Least Common Multiple of 7056 and 7063?

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 7063 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 7063, than apply into the LCM equation.

GCF(7056,7063) = 7
LCM(7056,7063) = ( 7056 × 7063) / 7
LCM(7056,7063) = 49836528 / 7
LCM(7056,7063) = 7119504

Least Common Multiple (LCM) of 7056 and 7063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7056 and 7063. First we will calculate the prime factors of 7056 and 7063.

Prime Factorization of 7056

Prime Factorization of 7063

Now multiplying the highest exponent prime factors to calculate the LCM of 7056 and 7063.

LCM(7056,7063) = 2⁴ × 3² × 7² × 1009¹
LCM(7056,7063) = 7119504