What is the Least Common Multiple of 51708 and 51712?

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 51708 and 51712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51708 and 51712, than apply into the LCM equation.

GCF(51708,51712) = 4
LCM(51708,51712) = ( 51708 × 51712) / 4
LCM(51708,51712) = 2673924096 / 4
LCM(51708,51712) = 668481024

Least Common Multiple (LCM) of 51708 and 51712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51708 and 51712. First we will calculate the prime factors of 51708 and 51712.

Prime Factorization of 51708

Prime Factorization of 51712

Now multiplying the highest exponent prime factors to calculate the LCM of 51708 and 51712.

LCM(51708,51712) = 2⁹ × 3¹ × 31¹ × 139¹ × 101¹
LCM(51708,51712) = 668481024