What is the Least Common Multiple of 88736 and 88746?

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 88746 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 88746, than apply into the LCM equation.

GCF(88736,88746) = 2
LCM(88736,88746) = ( 88736 × 88746) / 2
LCM(88736,88746) = 7874965056 / 2
LCM(88736,88746) = 3937482528

Least Common Multiple (LCM) of 88736 and 88746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88736 and 88746. First we will calculate the prime factors of 88736 and 88746.

Prime Factorization of 88736

Prime Factorization of 88746

Now multiplying the highest exponent prime factors to calculate the LCM of 88736 and 88746.

LCM(88736,88746) = 2⁵ × 47¹ × 59¹ × 3¹ × 7¹ × 2113¹
LCM(88736,88746) = 3937482528