What is the Least Common Multiple of 32114 and 32130?

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 32114 and 32130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32114 and 32130, than apply into the LCM equation.

GCF(32114,32130) = 2
LCM(32114,32130) = ( 32114 × 32130) / 2
LCM(32114,32130) = 1031822820 / 2
LCM(32114,32130) = 515911410

Least Common Multiple (LCM) of 32114 and 32130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32114 and 32130. First we will calculate the prime factors of 32114 and 32130.

Prime Factorization of 32114

Prime Factorization of 32130

Now multiplying the highest exponent prime factors to calculate the LCM of 32114 and 32130.

LCM(32114,32130) = 2¹ × 16057¹ × 3³ × 5¹ × 7¹ × 17¹
LCM(32114,32130) = 515911410