What is the Least Common Multiple of 66147 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 66147 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 66147 and 66164, than apply into the LCM equation.

GCF(66147,66164) = 17
LCM(66147,66164) = ( 66147 × 66164) / 17
LCM(66147,66164) = 4376550108 / 17
LCM(66147,66164) = 257444124

Least Common Multiple (LCM) of 66147 and 66164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66147 and 66164. First we will calculate the prime factors of 66147 and 66164.

Prime Factorization of 66147

Prime Factorization of 66164

Now multiplying the highest exponent prime factors to calculate the LCM of 66147 and 66164.

LCM(66147,66164) = 3¹ × 17¹ × 1297¹ × 2² × 7¹ × 139¹
LCM(66147,66164) = 257444124