What is the Least Common Multiple of 7056 and 7075?

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 7075 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 7075, than apply into the LCM equation.

GCF(7056,7075) = 1
LCM(7056,7075) = ( 7056 × 7075) / 1
LCM(7056,7075) = 49921200 / 1
LCM(7056,7075) = 49921200

Least Common Multiple (LCM) of 7056 and 7075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7056 and 7075. First we will calculate the prime factors of 7056 and 7075.

Prime Factorization of 7056

Prime Factorization of 7075

Now multiplying the highest exponent prime factors to calculate the LCM of 7056 and 7075.

LCM(7056,7075) = 2⁴ × 3² × 7² × 5² × 283¹
LCM(7056,7075) = 49921200