What is the Least Common Multiple of 31638 and 31652?

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 31638 and 31652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31638 and 31652, than apply into the LCM equation.

GCF(31638,31652) = 2
LCM(31638,31652) = ( 31638 × 31652) / 2
LCM(31638,31652) = 1001405976 / 2
LCM(31638,31652) = 500702988

Least Common Multiple (LCM) of 31638 and 31652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31638 and 31652. First we will calculate the prime factors of 31638 and 31652.

Prime Factorization of 31638

Prime Factorization of 31652

Now multiplying the highest exponent prime factors to calculate the LCM of 31638 and 31652.

LCM(31638,31652) = 2² × 3¹ × 5273¹ × 41¹ × 193¹
LCM(31638,31652) = 500702988