What is the Least Common Multiple of 82134 and 82141?

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 82134 and 82141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82134 and 82141, than apply into the LCM equation.

GCF(82134,82141) = 1
LCM(82134,82141) = ( 82134 × 82141) / 1
LCM(82134,82141) = 6746568894 / 1
LCM(82134,82141) = 6746568894

Least Common Multiple (LCM) of 82134 and 82141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82134 and 82141. First we will calculate the prime factors of 82134 and 82141.

Prime Factorization of 82134

Prime Factorization of 82141

Now multiplying the highest exponent prime factors to calculate the LCM of 82134 and 82141.

LCM(82134,82141) = 2¹ × 3⁵ × 13² × 82141¹
LCM(82134,82141) = 6746568894