What is the Least Common Multiple of 88224 and 88239?

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 88224 and 88239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88224 and 88239, than apply into the LCM equation.

GCF(88224,88239) = 3
LCM(88224,88239) = ( 88224 × 88239) / 3
LCM(88224,88239) = 7784797536 / 3
LCM(88224,88239) = 2594932512

Least Common Multiple (LCM) of 88224 and 88239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88224 and 88239. First we will calculate the prime factors of 88224 and 88239.

Prime Factorization of 88224

Prime Factorization of 88239

Now multiplying the highest exponent prime factors to calculate the LCM of 88224 and 88239.

LCM(88224,88239) = 2⁵ × 3¹ × 919¹ × 67¹ × 439¹
LCM(88224,88239) = 2594932512