What is the Least Common Multiple of 66156 and 66171?

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 66156 and 66171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66156 and 66171, than apply into the LCM equation.

GCF(66156,66171) = 3
LCM(66156,66171) = ( 66156 × 66171) / 3
LCM(66156,66171) = 4377608676 / 3
LCM(66156,66171) = 1459202892

Least Common Multiple (LCM) of 66156 and 66171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66156 and 66171. First we will calculate the prime factors of 66156 and 66171.

Prime Factorization of 66156

Prime Factorization of 66171

Now multiplying the highest exponent prime factors to calculate the LCM of 66156 and 66171.

LCM(66156,66171) = 2² × 3¹ × 37¹ × 149¹ × 7¹ × 23¹ × 137¹
LCM(66156,66171) = 1459202892