What is the Least Common Multiple of 89344 and 89364?

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 89344 and 89364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89344 and 89364, than apply into the LCM equation.

GCF(89344,89364) = 4
LCM(89344,89364) = ( 89344 × 89364) / 4
LCM(89344,89364) = 7984137216 / 4
LCM(89344,89364) = 1996034304

Least Common Multiple (LCM) of 89344 and 89364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89344 and 89364. First we will calculate the prime factors of 89344 and 89364.

Prime Factorization of 89344

Prime Factorization of 89364

Now multiplying the highest exponent prime factors to calculate the LCM of 89344 and 89364.

LCM(89344,89364) = 2⁸ × 349¹ × 3¹ × 11¹ × 677¹
LCM(89344,89364) = 1996034304