What is the Least Common Multiple of 88438 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 88438 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 88438 and 88452, than apply into the LCM equation.

GCF(88438,88452) = 14
LCM(88438,88452) = ( 88438 × 88452) / 14
LCM(88438,88452) = 7822517976 / 14
LCM(88438,88452) = 558751284

Least Common Multiple (LCM) of 88438 and 88452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88438 and 88452. First we will calculate the prime factors of 88438 and 88452.

Prime Factorization of 88438

Prime Factorization of 88452

Now multiplying the highest exponent prime factors to calculate the LCM of 88438 and 88452.

LCM(88438,88452) = 2² × 7¹ × 6317¹ × 3⁵ × 13¹
LCM(88438,88452) = 558751284