What is the Least Common Multiple of 88738 and 88744?

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 88738 and 88744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88738 and 88744, than apply into the LCM equation.

GCF(88738,88744) = 2
LCM(88738,88744) = ( 88738 × 88744) / 2
LCM(88738,88744) = 7874965072 / 2
LCM(88738,88744) = 3937482536

Least Common Multiple (LCM) of 88738 and 88744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88738 and 88744. First we will calculate the prime factors of 88738 and 88744.

Prime Factorization of 88738

Prime Factorization of 88744

Now multiplying the highest exponent prime factors to calculate the LCM of 88738 and 88744.

LCM(88738,88744) = 2³ × 13¹ × 3413¹ × 11093¹
LCM(88738,88744) = 3937482536