What is the Least Common Multiple of 48567 and 48578?

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 48567 and 48578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48567 and 48578, than apply into the LCM equation.

GCF(48567,48578) = 1
LCM(48567,48578) = ( 48567 × 48578) / 1
LCM(48567,48578) = 2359287726 / 1
LCM(48567,48578) = 2359287726

Least Common Multiple (LCM) of 48567 and 48578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48567 and 48578. First we will calculate the prime factors of 48567 and 48578.

Prime Factorization of 48567

Prime Factorization of 48578

Now multiplying the highest exponent prime factors to calculate the LCM of 48567 and 48578.

LCM(48567,48578) = 3¹ × 16189¹ × 2¹ × 107¹ × 227¹
LCM(48567,48578) = 2359287726