What is the Least Common Multiple of 88464 and 88482?

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 88464 and 88482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88464 and 88482, than apply into the LCM equation.

GCF(88464,88482) = 6
LCM(88464,88482) = ( 88464 × 88482) / 6
LCM(88464,88482) = 7827471648 / 6
LCM(88464,88482) = 1304578608

Least Common Multiple (LCM) of 88464 and 88482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88464 and 88482. First we will calculate the prime factors of 88464 and 88482.

Prime Factorization of 88464

Prime Factorization of 88482

Now multiplying the highest exponent prime factors to calculate the LCM of 88464 and 88482.

LCM(88464,88482) = 2⁴ × 3¹ × 19¹ × 97¹ × 14747¹
LCM(88464,88482) = 1304578608