What is the Least Common Multiple of 82140 and 82149?

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 82149 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 82149, than apply into the LCM equation.

GCF(82140,82149) = 3
LCM(82140,82149) = ( 82140 × 82149) / 3
LCM(82140,82149) = 6747718860 / 3
LCM(82140,82149) = 2249239620

Least Common Multiple (LCM) of 82140 and 82149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82140 and 82149. First we will calculate the prime factors of 82140 and 82149.

Prime Factorization of 82140

Prime Factorization of 82149

Now multiplying the highest exponent prime factors to calculate the LCM of 82140 and 82149.

LCM(82140,82149) = 2² × 3¹ × 5¹ × 37² × 139¹ × 197¹
LCM(82140,82149) = 2249239620