What is the Least Common Multiple of 89284 and 89288?

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 89284 and 89288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89284 and 89288, than apply into the LCM equation.

GCF(89284,89288) = 4
LCM(89284,89288) = ( 89284 × 89288) / 4
LCM(89284,89288) = 7971989792 / 4
LCM(89284,89288) = 1992997448

Least Common Multiple (LCM) of 89284 and 89288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89284 and 89288. First we will calculate the prime factors of 89284 and 89288.

Prime Factorization of 89284

Prime Factorization of 89288

Now multiplying the highest exponent prime factors to calculate the LCM of 89284 and 89288.

LCM(89284,89288) = 2³ × 13¹ × 17¹ × 101¹ × 11161¹
LCM(89284,89288) = 1992997448