What is the Least Common Multiple of 84129 and 84135?

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 84129 and 84135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84129 and 84135, than apply into the LCM equation.

GCF(84129,84135) = 3
LCM(84129,84135) = ( 84129 × 84135) / 3
LCM(84129,84135) = 7078193415 / 3
LCM(84129,84135) = 2359397805

Least Common Multiple (LCM) of 84129 and 84135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84129 and 84135. First we will calculate the prime factors of 84129 and 84135.

Prime Factorization of 84129

Prime Factorization of 84135

Now multiplying the highest exponent prime factors to calculate the LCM of 84129 and 84135.

LCM(84129,84135) = 3¹ × 29¹ × 967¹ × 5¹ × 71¹ × 79¹
LCM(84129,84135) = 2359397805