What is the Least Common Multiple of 51129 and 51148?

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 51129 and 51148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51129 and 51148, than apply into the LCM equation.

GCF(51129,51148) = 19
LCM(51129,51148) = ( 51129 × 51148) / 19
LCM(51129,51148) = 2615146092 / 19
LCM(51129,51148) = 137639268

Least Common Multiple (LCM) of 51129 and 51148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51129 and 51148. First we will calculate the prime factors of 51129 and 51148.

Prime Factorization of 51129

Prime Factorization of 51148

Now multiplying the highest exponent prime factors to calculate the LCM of 51129 and 51148.

LCM(51129,51148) = 3² × 13¹ × 19¹ × 23¹ × 2² × 673¹
LCM(51129,51148) = 137639268