What is the Least Common Multiple of 66132 and 66144?

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 66132 and 66144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66132 and 66144, than apply into the LCM equation.

GCF(66132,66144) = 12
LCM(66132,66144) = ( 66132 × 66144) / 12
LCM(66132,66144) = 4374235008 / 12
LCM(66132,66144) = 364519584

Least Common Multiple (LCM) of 66132 and 66144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66132 and 66144. First we will calculate the prime factors of 66132 and 66144.

Prime Factorization of 66132

Prime Factorization of 66144

Now multiplying the highest exponent prime factors to calculate the LCM of 66132 and 66144.

LCM(66132,66144) = 2⁵ × 3² × 11¹ × 167¹ × 13¹ × 53¹
LCM(66132,66144) = 364519584