What is the Least Common Multiple of 89682 and 89699?

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 89682 and 89699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89682 and 89699, than apply into the LCM equation.

GCF(89682,89699) = 1
LCM(89682,89699) = ( 89682 × 89699) / 1
LCM(89682,89699) = 8044385718 / 1
LCM(89682,89699) = 8044385718

Least Common Multiple (LCM) of 89682 and 89699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89682 and 89699. First we will calculate the prime factors of 89682 and 89699.

Prime Factorization of 89682

Prime Factorization of 89699

Now multiplying the highest exponent prime factors to calculate the LCM of 89682 and 89699.

LCM(89682,89699) = 2¹ × 3¹ × 14947¹ × 19¹ × 4721¹
LCM(89682,89699) = 8044385718