What is the Least Common Multiple of 88542 and 88554?

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 88542 and 88554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88542 and 88554, than apply into the LCM equation.

GCF(88542,88554) = 6
LCM(88542,88554) = ( 88542 × 88554) / 6
LCM(88542,88554) = 7840748268 / 6
LCM(88542,88554) = 1306791378

Least Common Multiple (LCM) of 88542 and 88554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88542 and 88554. First we will calculate the prime factors of 88542 and 88554.

Prime Factorization of 88542

Prime Factorization of 88554

Now multiplying the highest exponent prime factors to calculate the LCM of 88542 and 88554.

LCM(88542,88554) = 2¹ × 3² × 4919¹ × 14759¹
LCM(88542,88554) = 1306791378