What is the Least Common Multiple of 89296 and 89310?

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 89296 and 89310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89296 and 89310, than apply into the LCM equation.

GCF(89296,89310) = 2
LCM(89296,89310) = ( 89296 × 89310) / 2
LCM(89296,89310) = 7975025760 / 2
LCM(89296,89310) = 3987512880

Least Common Multiple (LCM) of 89296 and 89310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89296 and 89310. First we will calculate the prime factors of 89296 and 89310.

Prime Factorization of 89296

Prime Factorization of 89310

Now multiplying the highest exponent prime factors to calculate the LCM of 89296 and 89310.

LCM(89296,89310) = 2⁴ × 5581¹ × 3¹ × 5¹ × 13¹ × 229¹
LCM(89296,89310) = 3987512880