What is the Least Common Multiple of 31628 and 31638?

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 31628 and 31638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31628 and 31638, than apply into the LCM equation.

GCF(31628,31638) = 2
LCM(31628,31638) = ( 31628 × 31638) / 2
LCM(31628,31638) = 1000646664 / 2
LCM(31628,31638) = 500323332

Least Common Multiple (LCM) of 31628 and 31638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31628 and 31638. First we will calculate the prime factors of 31628 and 31638.

Prime Factorization of 31628

Prime Factorization of 31638

Now multiplying the highest exponent prime factors to calculate the LCM of 31628 and 31638.

LCM(31628,31638) = 2² × 7907¹ × 3¹ × 5273¹
LCM(31628,31638) = 500323332