What is the Least Common Multiple of 84135 and 84141?

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 84141 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 84141, than apply into the LCM equation.

GCF(84135,84141) = 3
LCM(84135,84141) = ( 84135 × 84141) / 3
LCM(84135,84141) = 7079203035 / 3
LCM(84135,84141) = 2359734345

Least Common Multiple (LCM) of 84135 and 84141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84135 and 84141. First we will calculate the prime factors of 84135 and 84141.

Prime Factorization of 84135

Prime Factorization of 84141

Now multiplying the highest exponent prime factors to calculate the LCM of 84135 and 84141.

LCM(84135,84141) = 3² × 5¹ × 71¹ × 79¹ × 9349¹
LCM(84135,84141) = 2359734345