What is the Least Common Multiple of 88224 and 88233?

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 88233 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 88233, than apply into the LCM equation.

GCF(88224,88233) = 3
LCM(88224,88233) = ( 88224 × 88233) / 3
LCM(88224,88233) = 7784268192 / 3
LCM(88224,88233) = 2594756064

Least Common Multiple (LCM) of 88224 and 88233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88224 and 88233. First we will calculate the prime factors of 88224 and 88233.

Prime Factorization of 88224

Prime Factorization of 88233

Now multiplying the highest exponent prime factors to calculate the LCM of 88224 and 88233.

LCM(88224,88233) = 2⁵ × 3¹ × 919¹ × 29411¹
LCM(88224,88233) = 2594756064