What is the Least Common Multiple of 89560 and 89576?

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 89560 and 89576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89560 and 89576, than apply into the LCM equation.

GCF(89560,89576) = 8
LCM(89560,89576) = ( 89560 × 89576) / 8
LCM(89560,89576) = 8022426560 / 8
LCM(89560,89576) = 1002803320

Least Common Multiple (LCM) of 89560 and 89576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89560 and 89576. First we will calculate the prime factors of 89560 and 89576.

Prime Factorization of 89560

Prime Factorization of 89576

Now multiplying the highest exponent prime factors to calculate the LCM of 89560 and 89576.

LCM(89560,89576) = 2³ × 5¹ × 2239¹ × 11197¹
LCM(89560,89576) = 1002803320