What is the Least Common Multiple of 51506 and 51512?

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 51506 and 51512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51506 and 51512, than apply into the LCM equation.

GCF(51506,51512) = 2
LCM(51506,51512) = ( 51506 × 51512) / 2
LCM(51506,51512) = 2653177072 / 2
LCM(51506,51512) = 1326588536

Least Common Multiple (LCM) of 51506 and 51512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51506 and 51512. First we will calculate the prime factors of 51506 and 51512.

Prime Factorization of 51506

Prime Factorization of 51512

Now multiplying the highest exponent prime factors to calculate the LCM of 51506 and 51512.

LCM(51506,51512) = 2³ × 7¹ × 13¹ × 283¹ × 47¹ × 137¹
LCM(51506,51512) = 1326588536