What is the Least Common Multiple of 88448 and 88467?

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 88467 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 88467, than apply into the LCM equation.

GCF(88448,88467) = 1
LCM(88448,88467) = ( 88448 × 88467) / 1
LCM(88448,88467) = 7824729216 / 1
LCM(88448,88467) = 7824729216

Least Common Multiple (LCM) of 88448 and 88467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88448 and 88467. First we will calculate the prime factors of 88448 and 88467.

Prime Factorization of 88448

Prime Factorization of 88467

Now multiplying the highest exponent prime factors to calculate the LCM of 88448 and 88467.

LCM(88448,88467) = 2⁷ × 691¹ × 3¹ × 37¹ × 797¹
LCM(88448,88467) = 7824729216