What is the Least Common Multiple of 48069 and 48087?

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 48069 and 48087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48069 and 48087, than apply into the LCM equation.

GCF(48069,48087) = 9
LCM(48069,48087) = ( 48069 × 48087) / 9
LCM(48069,48087) = 2311494003 / 9
LCM(48069,48087) = 256832667

Least Common Multiple (LCM) of 48069 and 48087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48069 and 48087. First we will calculate the prime factors of 48069 and 48087.

Prime Factorization of 48069

Prime Factorization of 48087

Now multiplying the highest exponent prime factors to calculate the LCM of 48069 and 48087.

LCM(48069,48087) = 3³ × 7² × 109¹ × 13¹ × 137¹
LCM(48069,48087) = 256832667