What is the Least Common Multiple of 88439 and 88452?

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 88439 and 88452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88439 and 88452, than apply into the LCM equation.

GCF(88439,88452) = 13
LCM(88439,88452) = ( 88439 × 88452) / 13
LCM(88439,88452) = 7822606428 / 13
LCM(88439,88452) = 601738956

Least Common Multiple (LCM) of 88439 and 88452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88439 and 88452. First we will calculate the prime factors of 88439 and 88452.

Prime Factorization of 88439

Prime Factorization of 88452

Now multiplying the highest exponent prime factors to calculate the LCM of 88439 and 88452.

LCM(88439,88452) = 13¹ × 6803¹ × 2² × 3⁵ × 7¹
LCM(88439,88452) = 601738956