What is the Least Common Multiple of 48163 and 48167?

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 48163 and 48167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48163 and 48167, than apply into the LCM equation.

GCF(48163,48167) = 1
LCM(48163,48167) = ( 48163 × 48167) / 1
LCM(48163,48167) = 2319867221 / 1
LCM(48163,48167) = 2319867221

Least Common Multiple (LCM) of 48163 and 48167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48163 and 48167. First we will calculate the prime factors of 48163 and 48167.

Prime Factorization of 48163

Prime Factorization of 48167

Now multiplying the highest exponent prime factors to calculate the LCM of 48163 and 48167.

LCM(48163,48167) = 48163¹ × 7² × 983¹
LCM(48163,48167) = 2319867221