What is the Least Common Multiple of 32130 and 32142?

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 32130 and 32142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32130 and 32142, than apply into the LCM equation.

GCF(32130,32142) = 6
LCM(32130,32142) = ( 32130 × 32142) / 6
LCM(32130,32142) = 1032722460 / 6
LCM(32130,32142) = 172120410

Least Common Multiple (LCM) of 32130 and 32142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32130 and 32142. First we will calculate the prime factors of 32130 and 32142.

Prime Factorization of 32130

Prime Factorization of 32142

Now multiplying the highest exponent prime factors to calculate the LCM of 32130 and 32142.

LCM(32130,32142) = 2¹ × 3³ × 5¹ × 7¹ × 17¹ × 11¹ × 487¹
LCM(32130,32142) = 172120410