What is the Least Common Multiple of 89284 and 89296?

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 89296 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 89296, than apply into the LCM equation.

GCF(89284,89296) = 4
LCM(89284,89296) = ( 89284 × 89296) / 4
LCM(89284,89296) = 7972704064 / 4
LCM(89284,89296) = 1993176016

Least Common Multiple (LCM) of 89284 and 89296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89284 and 89296. First we will calculate the prime factors of 89284 and 89296.

Prime Factorization of 89284

Prime Factorization of 89296

Now multiplying the highest exponent prime factors to calculate the LCM of 89284 and 89296.

LCM(89284,89296) = 2⁴ × 13¹ × 17¹ × 101¹ × 5581¹
LCM(89284,89296) = 1993176016