What is the Least Common Multiple of 82140 and 82146?

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 82140 and 82146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82140 and 82146, than apply into the LCM equation.

GCF(82140,82146) = 6
LCM(82140,82146) = ( 82140 × 82146) / 6
LCM(82140,82146) = 6747472440 / 6
LCM(82140,82146) = 1124578740

Least Common Multiple (LCM) of 82140 and 82146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82140 and 82146. First we will calculate the prime factors of 82140 and 82146.

Prime Factorization of 82140

Prime Factorization of 82146

Now multiplying the highest exponent prime factors to calculate the LCM of 82140 and 82146.

LCM(82140,82146) = 2² × 3¹ × 5¹ × 37² × 13691¹
LCM(82140,82146) = 1124578740