What is the Least Common Multiple of 51252 and 51266?

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 51252 and 51266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51252 and 51266, than apply into the LCM equation.

GCF(51252,51266) = 2
LCM(51252,51266) = ( 51252 × 51266) / 2
LCM(51252,51266) = 2627485032 / 2
LCM(51252,51266) = 1313742516

Least Common Multiple (LCM) of 51252 and 51266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51252 and 51266. First we will calculate the prime factors of 51252 and 51266.

Prime Factorization of 51252

Prime Factorization of 51266

Now multiplying the highest exponent prime factors to calculate the LCM of 51252 and 51266.

LCM(51252,51266) = 2² × 3¹ × 4271¹ × 25633¹
LCM(51252,51266) = 1313742516