What is the Least Common Multiple of 66114 and 66130?

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 66114 and 66130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66114 and 66130, than apply into the LCM equation.

GCF(66114,66130) = 2
LCM(66114,66130) = ( 66114 × 66130) / 2
LCM(66114,66130) = 4372118820 / 2
LCM(66114,66130) = 2186059410

Least Common Multiple (LCM) of 66114 and 66130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66114 and 66130. First we will calculate the prime factors of 66114 and 66130.

Prime Factorization of 66114

Prime Factorization of 66130

Now multiplying the highest exponent prime factors to calculate the LCM of 66114 and 66130.

LCM(66114,66130) = 2¹ × 3² × 3673¹ × 5¹ × 17¹ × 389¹
LCM(66114,66130) = 2186059410