What is the Least Common Multiple of 31632 and 31642?

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 31632 and 31642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31632 and 31642, than apply into the LCM equation.

GCF(31632,31642) = 2
LCM(31632,31642) = ( 31632 × 31642) / 2
LCM(31632,31642) = 1000899744 / 2
LCM(31632,31642) = 500449872

Least Common Multiple (LCM) of 31632 and 31642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31632 and 31642. First we will calculate the prime factors of 31632 and 31642.

Prime Factorization of 31632

Prime Factorization of 31642

Now multiplying the highest exponent prime factors to calculate the LCM of 31632 and 31642.

LCM(31632,31642) = 2⁴ × 3¹ × 659¹ × 13¹ × 1217¹
LCM(31632,31642) = 500449872