What is the Least Common Multiple of 89298 and 89312?

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 89298 and 89312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89298 and 89312, than apply into the LCM equation.

GCF(89298,89312) = 2
LCM(89298,89312) = ( 89298 × 89312) / 2
LCM(89298,89312) = 7975382976 / 2
LCM(89298,89312) = 3987691488

Least Common Multiple (LCM) of 89298 and 89312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89298 and 89312. First we will calculate the prime factors of 89298 and 89312.

Prime Factorization of 89298

Prime Factorization of 89312

Now multiplying the highest exponent prime factors to calculate the LCM of 89298 and 89312.

LCM(89298,89312) = 2⁵ × 3² × 11² × 41¹ × 2791¹
LCM(89298,89312) = 3987691488