What is the Least Common Multiple of 31350 and 31368?

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 31350 and 31368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31350 and 31368, than apply into the LCM equation.

GCF(31350,31368) = 6
LCM(31350,31368) = ( 31350 × 31368) / 6
LCM(31350,31368) = 983386800 / 6
LCM(31350,31368) = 163897800

Least Common Multiple (LCM) of 31350 and 31368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31350 and 31368. First we will calculate the prime factors of 31350 and 31368.

Prime Factorization of 31350

Prime Factorization of 31368

Now multiplying the highest exponent prime factors to calculate the LCM of 31350 and 31368.

LCM(31350,31368) = 2³ × 3¹ × 5² × 11¹ × 19¹ × 1307¹
LCM(31350,31368) = 163897800