What is the Least Common Multiple of 88448 and 88464?

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 88448 and 88464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88448 and 88464, than apply into the LCM equation.

GCF(88448,88464) = 16
LCM(88448,88464) = ( 88448 × 88464) / 16
LCM(88448,88464) = 7824463872 / 16
LCM(88448,88464) = 489028992

Least Common Multiple (LCM) of 88448 and 88464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88448 and 88464. First we will calculate the prime factors of 88448 and 88464.

Prime Factorization of 88448

Prime Factorization of 88464

Now multiplying the highest exponent prime factors to calculate the LCM of 88448 and 88464.

LCM(88448,88464) = 2⁷ × 691¹ × 3¹ × 19¹ × 97¹
LCM(88448,88464) = 489028992