What is the Least Common Multiple of 51856 and 51876?

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 51856 and 51876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51856 and 51876, than apply into the LCM equation.

GCF(51856,51876) = 4
LCM(51856,51876) = ( 51856 × 51876) / 4
LCM(51856,51876) = 2690081856 / 4
LCM(51856,51876) = 672520464

Least Common Multiple (LCM) of 51856 and 51876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51856 and 51876. First we will calculate the prime factors of 51856 and 51876.

Prime Factorization of 51856

Prime Factorization of 51876

Now multiplying the highest exponent prime factors to calculate the LCM of 51856 and 51876.

LCM(51856,51876) = 2⁴ × 7¹ × 463¹ × 3² × 11¹ × 131¹
LCM(51856,51876) = 672520464