What is the Least Common Multiple of 48153 and 48163?

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 48153 and 48163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48153 and 48163, than apply into the LCM equation.

GCF(48153,48163) = 1
LCM(48153,48163) = ( 48153 × 48163) / 1
LCM(48153,48163) = 2319192939 / 1
LCM(48153,48163) = 2319192939

Least Common Multiple (LCM) of 48153 and 48163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48153 and 48163. First we will calculate the prime factors of 48153 and 48163.

Prime Factorization of 48153

Prime Factorization of 48163

Now multiplying the highest exponent prime factors to calculate the LCM of 48153 and 48163.

LCM(48153,48163) = 3¹ × 7¹ × 2293¹ × 48163¹
LCM(48153,48163) = 2319192939