What is the Least Common Multiple of 51856 and 51870?

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 51870 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 51870, than apply into the LCM equation.

GCF(51856,51870) = 14
LCM(51856,51870) = ( 51856 × 51870) / 14
LCM(51856,51870) = 2689770720 / 14
LCM(51856,51870) = 192126480

Least Common Multiple (LCM) of 51856 and 51870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51856 and 51870. First we will calculate the prime factors of 51856 and 51870.

Prime Factorization of 51856

Prime Factorization of 51870

Now multiplying the highest exponent prime factors to calculate the LCM of 51856 and 51870.

LCM(51856,51870) = 2⁴ × 7¹ × 463¹ × 3¹ × 5¹ × 13¹ × 19¹
LCM(51856,51870) = 192126480