What is the Least Common Multiple of 89364 and 89377?

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 89364 and 89377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89364 and 89377, than apply into the LCM equation.

GCF(89364,89377) = 1
LCM(89364,89377) = ( 89364 × 89377) / 1
LCM(89364,89377) = 7987086228 / 1
LCM(89364,89377) = 7987086228

Least Common Multiple (LCM) of 89364 and 89377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89364 and 89377. First we will calculate the prime factors of 89364 and 89377.

Prime Factorization of 89364

Prime Factorization of 89377

Now multiplying the highest exponent prime factors to calculate the LCM of 89364 and 89377.

LCM(89364,89377) = 2² × 3¹ × 11¹ × 677¹ × 139¹ × 643¹
LCM(89364,89377) = 7987086228