What is the Least Common Multiple of 82105 and 82123?

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 82105 and 82123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82105 and 82123, than apply into the LCM equation.

GCF(82105,82123) = 1
LCM(82105,82123) = ( 82105 × 82123) / 1
LCM(82105,82123) = 6742708915 / 1
LCM(82105,82123) = 6742708915

Least Common Multiple (LCM) of 82105 and 82123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82105 and 82123. First we will calculate the prime factors of 82105 and 82123.

Prime Factorization of 82105

Prime Factorization of 82123

Now multiplying the highest exponent prime factors to calculate the LCM of 82105 and 82123.

LCM(82105,82123) = 5¹ × 16421¹ × 41¹ × 2003¹
LCM(82105,82123) = 6742708915