What is the Least Common Multiple of 31371 and 31380?

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 31371 and 31380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31371 and 31380, than apply into the LCM equation.

GCF(31371,31380) = 3
LCM(31371,31380) = ( 31371 × 31380) / 3
LCM(31371,31380) = 984421980 / 3
LCM(31371,31380) = 328140660

Least Common Multiple (LCM) of 31371 and 31380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31371 and 31380. First we will calculate the prime factors of 31371 and 31380.

Prime Factorization of 31371

Prime Factorization of 31380

Now multiplying the highest exponent prime factors to calculate the LCM of 31371 and 31380.

LCM(31371,31380) = 3¹ × 10457¹ × 2² × 5¹ × 523¹
LCM(31371,31380) = 328140660