What is the Least Common Multiple of 84135 and 84153?

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 84135 and 84153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84135 and 84153, than apply into the LCM equation.

GCF(84135,84153) = 3
LCM(84135,84153) = ( 84135 × 84153) / 3
LCM(84135,84153) = 7080212655 / 3
LCM(84135,84153) = 2360070885

Least Common Multiple (LCM) of 84135 and 84153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84135 and 84153. First we will calculate the prime factors of 84135 and 84153.

Prime Factorization of 84135

Prime Factorization of 84153

Now multiplying the highest exponent prime factors to calculate the LCM of 84135 and 84153.

LCM(84135,84153) = 3¹ × 5¹ × 71¹ × 79¹ × 28051¹
LCM(84135,84153) = 2360070885