What is the Least Common Multiple of 31346 and 31362?

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 31346 and 31362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31346 and 31362, than apply into the LCM equation.

GCF(31346,31362) = 2
LCM(31346,31362) = ( 31346 × 31362) / 2
LCM(31346,31362) = 983073252 / 2
LCM(31346,31362) = 491536626

Least Common Multiple (LCM) of 31346 and 31362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31346 and 31362. First we will calculate the prime factors of 31346 and 31362.

Prime Factorization of 31346

Prime Factorization of 31362

Now multiplying the highest exponent prime factors to calculate the LCM of 31346 and 31362.

LCM(31346,31362) = 2¹ × 7¹ × 2239¹ × 3¹ × 5227¹
LCM(31346,31362) = 491536626