What is the Least Common Multiple of 23080 and 23087?

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 23080 and 23087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23080 and 23087, than apply into the LCM equation.

GCF(23080,23087) = 1
LCM(23080,23087) = ( 23080 × 23087) / 1
LCM(23080,23087) = 532847960 / 1
LCM(23080,23087) = 532847960

Least Common Multiple (LCM) of 23080 and 23087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23080 and 23087. First we will calculate the prime factors of 23080 and 23087.

Prime Factorization of 23080

Prime Factorization of 23087

Now multiplying the highest exponent prime factors to calculate the LCM of 23080 and 23087.

LCM(23080,23087) = 2³ × 5¹ × 577¹ × 23087¹
LCM(23080,23087) = 532847960