What is the Least Common Multiple of 88736 and 88742?

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 88736 and 88742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88736 and 88742, than apply into the LCM equation.

GCF(88736,88742) = 2
LCM(88736,88742) = ( 88736 × 88742) / 2
LCM(88736,88742) = 7874610112 / 2
LCM(88736,88742) = 3937305056

Least Common Multiple (LCM) of 88736 and 88742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88736 and 88742. First we will calculate the prime factors of 88736 and 88742.

Prime Factorization of 88736

Prime Factorization of 88742

Now multiplying the highest exponent prime factors to calculate the LCM of 88736 and 88742.

LCM(88736,88742) = 2⁵ × 47¹ × 59¹ × 44371¹
LCM(88736,88742) = 3937305056