What is the Least Common Multiple of 89073 and 89087?

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 89073 and 89087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89073 and 89087, than apply into the LCM equation.

GCF(89073,89087) = 1
LCM(89073,89087) = ( 89073 × 89087) / 1
LCM(89073,89087) = 7935246351 / 1
LCM(89073,89087) = 7935246351

Least Common Multiple (LCM) of 89073 and 89087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89073 and 89087. First we will calculate the prime factors of 89073 and 89087.

Prime Factorization of 89073

Prime Factorization of 89087

Now multiplying the highest exponent prime factors to calculate the LCM of 89073 and 89087.

LCM(89073,89087) = 3³ × 3299¹ × 89087¹
LCM(89073,89087) = 7935246351