What is the Least Common Multiple of 7050 and 7056?

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 7050 and 7056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7050 and 7056, than apply into the LCM equation.

GCF(7050,7056) = 6
LCM(7050,7056) = ( 7050 × 7056) / 6
LCM(7050,7056) = 49744800 / 6
LCM(7050,7056) = 8290800

Least Common Multiple (LCM) of 7050 and 7056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7050 and 7056. First we will calculate the prime factors of 7050 and 7056.

Prime Factorization of 7050

Prime Factorization of 7056

Now multiplying the highest exponent prime factors to calculate the LCM of 7050 and 7056.

LCM(7050,7056) = 2⁴ × 3² × 5² × 47¹ × 7²
LCM(7050,7056) = 8290800