What is the Least Common Multiple of 31614 and 31634?

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 31614 and 31634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31614 and 31634, than apply into the LCM equation.

GCF(31614,31634) = 2
LCM(31614,31634) = ( 31614 × 31634) / 2
LCM(31614,31634) = 1000077276 / 2
LCM(31614,31634) = 500038638

Least Common Multiple (LCM) of 31614 and 31634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31614 and 31634. First we will calculate the prime factors of 31614 and 31634.

Prime Factorization of 31614

Prime Factorization of 31634

Now multiplying the highest exponent prime factors to calculate the LCM of 31614 and 31634.

LCM(31614,31634) = 2¹ × 3¹ × 11¹ × 479¹ × 15817¹
LCM(31614,31634) = 500038638