What is the Least Common Multiple of 31317 and 31332?

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 31317 and 31332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31317 and 31332, than apply into the LCM equation.

GCF(31317,31332) = 3
LCM(31317,31332) = ( 31317 × 31332) / 3
LCM(31317,31332) = 981224244 / 3
LCM(31317,31332) = 327074748

Least Common Multiple (LCM) of 31317 and 31332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31317 and 31332. First we will calculate the prime factors of 31317 and 31332.

Prime Factorization of 31317

Prime Factorization of 31332

Now multiplying the highest exponent prime factors to calculate the LCM of 31317 and 31332.

LCM(31317,31332) = 3¹ × 11¹ × 13¹ × 73¹ × 2² × 7¹ × 373¹
LCM(31317,31332) = 327074748