What is the Least Common Multiple of 31692 and 31700?

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 31692 and 31700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31692 and 31700, than apply into the LCM equation.

GCF(31692,31700) = 4
LCM(31692,31700) = ( 31692 × 31700) / 4
LCM(31692,31700) = 1004636400 / 4
LCM(31692,31700) = 251159100

Least Common Multiple (LCM) of 31692 and 31700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31692 and 31700. First we will calculate the prime factors of 31692 and 31700.

Prime Factorization of 31692

Prime Factorization of 31700

Now multiplying the highest exponent prime factors to calculate the LCM of 31692 and 31700.

LCM(31692,31700) = 2² × 3¹ × 19¹ × 139¹ × 5² × 317¹
LCM(31692,31700) = 251159100