What is the Least Common Multiple of 48173 and 48187?

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 48173 and 48187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48173 and 48187, than apply into the LCM equation.

GCF(48173,48187) = 1
LCM(48173,48187) = ( 48173 × 48187) / 1
LCM(48173,48187) = 2321312351 / 1
LCM(48173,48187) = 2321312351

Least Common Multiple (LCM) of 48173 and 48187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48173 and 48187. First we will calculate the prime factors of 48173 and 48187.

Prime Factorization of 48173

Prime Factorization of 48187

Now multiplying the highest exponent prime factors to calculate the LCM of 48173 and 48187.

LCM(48173,48187) = 67¹ × 719¹ × 48187¹
LCM(48173,48187) = 2321312351