What is the Least Common Multiple of 31652 and 31658?

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 31652 and 31658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31652 and 31658, than apply into the LCM equation.

GCF(31652,31658) = 2
LCM(31652,31658) = ( 31652 × 31658) / 2
LCM(31652,31658) = 1002039016 / 2
LCM(31652,31658) = 501019508

Least Common Multiple (LCM) of 31652 and 31658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31652 and 31658. First we will calculate the prime factors of 31652 and 31658.

Prime Factorization of 31652

Prime Factorization of 31658

Now multiplying the highest exponent prime factors to calculate the LCM of 31652 and 31658.

LCM(31652,31658) = 2² × 41¹ × 193¹ × 11¹ × 1439¹
LCM(31652,31658) = 501019508