What is the Least Common Multiple of 31329 and 31349?

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 31329 and 31349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31329 and 31349, than apply into the LCM equation.

GCF(31329,31349) = 1
LCM(31329,31349) = ( 31329 × 31349) / 1
LCM(31329,31349) = 982132821 / 1
LCM(31329,31349) = 982132821

Least Common Multiple (LCM) of 31329 and 31349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31329 and 31349. First we will calculate the prime factors of 31329 and 31349.

Prime Factorization of 31329

Prime Factorization of 31349

Now multiplying the highest exponent prime factors to calculate the LCM of 31329 and 31349.

LCM(31329,31349) = 3² × 59² × 23¹ × 29¹ × 47¹
LCM(31329,31349) = 982132821