What is the Least Common Multiple of 31362 and 31377?

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 31362 and 31377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31362 and 31377, than apply into the LCM equation.

GCF(31362,31377) = 3
LCM(31362,31377) = ( 31362 × 31377) / 3
LCM(31362,31377) = 984045474 / 3
LCM(31362,31377) = 328015158

Least Common Multiple (LCM) of 31362 and 31377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31362 and 31377. First we will calculate the prime factors of 31362 and 31377.

Prime Factorization of 31362

Prime Factorization of 31377

Now multiplying the highest exponent prime factors to calculate the LCM of 31362 and 31377.

LCM(31362,31377) = 2¹ × 3¹ × 5227¹ × 10459¹
LCM(31362,31377) = 328015158