What is the Least Common Multiple of 31792 and 31810?

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 31792 and 31810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31792 and 31810, than apply into the LCM equation.

GCF(31792,31810) = 2
LCM(31792,31810) = ( 31792 × 31810) / 2
LCM(31792,31810) = 1011303520 / 2
LCM(31792,31810) = 505651760

Least Common Multiple (LCM) of 31792 and 31810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31792 and 31810. First we will calculate the prime factors of 31792 and 31810.

Prime Factorization of 31792

Prime Factorization of 31810

Now multiplying the highest exponent prime factors to calculate the LCM of 31792 and 31810.

LCM(31792,31810) = 2⁴ × 1987¹ × 5¹ × 3181¹
LCM(31792,31810) = 505651760