What is the Least Common Multiple of 89239 and 89256?

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 89239 and 89256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89239 and 89256, than apply into the LCM equation.

GCF(89239,89256) = 1
LCM(89239,89256) = ( 89239 × 89256) / 1
LCM(89239,89256) = 7965116184 / 1
LCM(89239,89256) = 7965116184

Least Common Multiple (LCM) of 89239 and 89256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89239 and 89256. First we will calculate the prime factors of 89239 and 89256.

Prime Factorization of 89239

Prime Factorization of 89256

Now multiplying the highest exponent prime factors to calculate the LCM of 89239 and 89256.

LCM(89239,89256) = 233¹ × 383¹ × 2³ × 3¹ × 3719¹
LCM(89239,89256) = 7965116184