What is the Least Common Multiple of 89056 and 89075?

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 89056 and 89075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89056 and 89075, than apply into the LCM equation.

GCF(89056,89075) = 1
LCM(89056,89075) = ( 89056 × 89075) / 1
LCM(89056,89075) = 7932663200 / 1
LCM(89056,89075) = 7932663200

Least Common Multiple (LCM) of 89056 and 89075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89056 and 89075. First we will calculate the prime factors of 89056 and 89075.

Prime Factorization of 89056

Prime Factorization of 89075

Now multiplying the highest exponent prime factors to calculate the LCM of 89056 and 89075.

LCM(89056,89075) = 2⁵ × 11² × 23¹ × 5² × 7¹ × 509¹
LCM(89056,89075) = 7932663200