What is the Least Common Multiple of 66150 and 66164?

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 66150 and 66164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66150 and 66164, than apply into the LCM equation.

GCF(66150,66164) = 14
LCM(66150,66164) = ( 66150 × 66164) / 14
LCM(66150,66164) = 4376748600 / 14
LCM(66150,66164) = 312624900

Least Common Multiple (LCM) of 66150 and 66164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66150 and 66164. First we will calculate the prime factors of 66150 and 66164.

Prime Factorization of 66150

Prime Factorization of 66164

Now multiplying the highest exponent prime factors to calculate the LCM of 66150 and 66164.

LCM(66150,66164) = 2² × 3³ × 5² × 7² × 17¹ × 139¹
LCM(66150,66164) = 312624900