What is the Least Common Multiple of 88056 and 88074?

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 88056 and 88074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88056 and 88074, than apply into the LCM equation.

GCF(88056,88074) = 18
LCM(88056,88074) = ( 88056 × 88074) / 18
LCM(88056,88074) = 7755444144 / 18
LCM(88056,88074) = 430858008

Least Common Multiple (LCM) of 88056 and 88074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88056 and 88074. First we will calculate the prime factors of 88056 and 88074.

Prime Factorization of 88056

Prime Factorization of 88074

Now multiplying the highest exponent prime factors to calculate the LCM of 88056 and 88074.

LCM(88056,88074) = 2³ × 3³ × 1223¹ × 7¹ × 233¹
LCM(88056,88074) = 430858008