What is the Least Common Multiple of 82086 and 82105?

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 82086 and 82105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82086 and 82105, than apply into the LCM equation.

GCF(82086,82105) = 1
LCM(82086,82105) = ( 82086 × 82105) / 1
LCM(82086,82105) = 6739671030 / 1
LCM(82086,82105) = 6739671030

Least Common Multiple (LCM) of 82086 and 82105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82086 and 82105. First we will calculate the prime factors of 82086 and 82105.

Prime Factorization of 82086

Prime Factorization of 82105

Now multiplying the highest exponent prime factors to calculate the LCM of 82086 and 82105.

LCM(82086,82105) = 2¹ × 3¹ × 13681¹ × 5¹ × 16421¹
LCM(82086,82105) = 6739671030