What is the Least Common Multiple of 84135 and 84142?

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 84142 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 84142, than apply into the LCM equation.

GCF(84135,84142) = 1
LCM(84135,84142) = ( 84135 × 84142) / 1
LCM(84135,84142) = 7079287170 / 1
LCM(84135,84142) = 7079287170

Least Common Multiple (LCM) of 84135 and 84142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84135 and 84142. First we will calculate the prime factors of 84135 and 84142.

Prime Factorization of 84135

Prime Factorization of 84142

Now multiplying the highest exponent prime factors to calculate the LCM of 84135 and 84142.

LCM(84135,84142) = 3¹ × 5¹ × 71¹ × 79¹ × 2¹ × 42071¹
LCM(84135,84142) = 7079287170