What is the Least Common Multiple of 87889 and 87909?

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 87889 and 87909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87889 and 87909, than apply into the LCM equation.

GCF(87889,87909) = 1
LCM(87889,87909) = ( 87889 × 87909) / 1
LCM(87889,87909) = 7726234101 / 1
LCM(87889,87909) = 7726234101

Least Common Multiple (LCM) of 87889 and 87909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87889 and 87909. First we will calculate the prime factors of 87889 and 87909.

Prime Factorization of 87889

Prime Factorization of 87909

Now multiplying the highest exponent prime factors to calculate the LCM of 87889 and 87909.

LCM(87889,87909) = 179¹ × 491¹ × 3¹ × 29303¹
LCM(87889,87909) = 7726234101