What is the Least Common Multiple of 88048 and 88056?

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 88048 and 88056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88048 and 88056, than apply into the LCM equation.

GCF(88048,88056) = 8
LCM(88048,88056) = ( 88048 × 88056) / 8
LCM(88048,88056) = 7753154688 / 8
LCM(88048,88056) = 969144336

Least Common Multiple (LCM) of 88048 and 88056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88048 and 88056. First we will calculate the prime factors of 88048 and 88056.

Prime Factorization of 88048

Prime Factorization of 88056

Now multiplying the highest exponent prime factors to calculate the LCM of 88048 and 88056.

LCM(88048,88056) = 2⁴ × 5503¹ × 3² × 1223¹
LCM(88048,88056) = 969144336