What is the Least Common Multiple of 84132 and 84144?

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 84132 and 84144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84132 and 84144, than apply into the LCM equation.

GCF(84132,84144) = 12
LCM(84132,84144) = ( 84132 × 84144) / 12
LCM(84132,84144) = 7079203008 / 12
LCM(84132,84144) = 589933584

Least Common Multiple (LCM) of 84132 and 84144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84132 and 84144. First we will calculate the prime factors of 84132 and 84144.

Prime Factorization of 84132

Prime Factorization of 84144

Now multiplying the highest exponent prime factors to calculate the LCM of 84132 and 84144.

LCM(84132,84144) = 2⁴ × 3³ × 19¹ × 41¹ × 1753¹
LCM(84132,84144) = 589933584