What is the Least Common Multiple of 31533 and 31539?

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 31533 and 31539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31533 and 31539, than apply into the LCM equation.

GCF(31533,31539) = 3
LCM(31533,31539) = ( 31533 × 31539) / 3
LCM(31533,31539) = 994519287 / 3
LCM(31533,31539) = 331506429

Least Common Multiple (LCM) of 31533 and 31539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31533 and 31539. First we will calculate the prime factors of 31533 and 31539.

Prime Factorization of 31533

Prime Factorization of 31539

Now multiplying the highest exponent prime factors to calculate the LCM of 31533 and 31539.

LCM(31533,31539) = 3¹ × 23¹ × 457¹ × 10513¹
LCM(31533,31539) = 331506429