What is the Least Common Multiple of 89364 and 89373?

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 89373 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 89373, than apply into the LCM equation.

GCF(89364,89373) = 3
LCM(89364,89373) = ( 89364 × 89373) / 3
LCM(89364,89373) = 7986728772 / 3
LCM(89364,89373) = 2662242924

Least Common Multiple (LCM) of 89364 and 89373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89364 and 89373. First we will calculate the prime factors of 89364 and 89373.

Prime Factorization of 89364

Prime Factorization of 89373

Now multiplying the highest exponent prime factors to calculate the LCM of 89364 and 89373.

LCM(89364,89373) = 2² × 3¹ × 11¹ × 677¹ × 31³
LCM(89364,89373) = 2662242924