What is the Least Common Multiple of 48153 and 48168?

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 48168 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 48168, than apply into the LCM equation.

GCF(48153,48168) = 3
LCM(48153,48168) = ( 48153 × 48168) / 3
LCM(48153,48168) = 2319433704 / 3
LCM(48153,48168) = 773144568

Least Common Multiple (LCM) of 48153 and 48168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48153 and 48168. First we will calculate the prime factors of 48153 and 48168.

Prime Factorization of 48153

Prime Factorization of 48168

Now multiplying the highest exponent prime factors to calculate the LCM of 48153 and 48168.

LCM(48153,48168) = 3³ × 7¹ × 2293¹ × 2³ × 223¹
LCM(48153,48168) = 773144568