What is the Least Common Multiple of 82065 and 82085?

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 82065 and 82085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82065 and 82085, than apply into the LCM equation.

GCF(82065,82085) = 5
LCM(82065,82085) = ( 82065 × 82085) / 5
LCM(82065,82085) = 6736305525 / 5
LCM(82065,82085) = 1347261105

Least Common Multiple (LCM) of 82065 and 82085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82065 and 82085. First we will calculate the prime factors of 82065 and 82085.

Prime Factorization of 82065

Prime Factorization of 82085

Now multiplying the highest exponent prime factors to calculate the LCM of 82065 and 82085.

LCM(82065,82085) = 3¹ × 5¹ × 5471¹ × 16417¹
LCM(82065,82085) = 1347261105