What is the Least Common Multiple of 67116 and 67130?

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 67116 and 67130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67116 and 67130, than apply into the LCM equation.

GCF(67116,67130) = 14
LCM(67116,67130) = ( 67116 × 67130) / 14
LCM(67116,67130) = 4505497080 / 14
LCM(67116,67130) = 321821220

Least Common Multiple (LCM) of 67116 and 67130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67116 and 67130. First we will calculate the prime factors of 67116 and 67130.

Prime Factorization of 67116

Prime Factorization of 67130

Now multiplying the highest exponent prime factors to calculate the LCM of 67116 and 67130.

LCM(67116,67130) = 2² × 3¹ × 7² × 17¹ × 47¹ × 5¹ × 137¹
LCM(67116,67130) = 321821220