What is the Least Common Multiple of 86082 and 86098?

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 86082 and 86098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86082 and 86098, than apply into the LCM equation.

GCF(86082,86098) = 2
LCM(86082,86098) = ( 86082 × 86098) / 2
LCM(86082,86098) = 7411488036 / 2
LCM(86082,86098) = 3705744018

Least Common Multiple (LCM) of 86082 and 86098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86082 and 86098. First we will calculate the prime factors of 86082 and 86098.

Prime Factorization of 86082

Prime Factorization of 86098

Now multiplying the highest exponent prime factors to calculate the LCM of 86082 and 86098.

LCM(86082,86098) = 2¹ × 3¹ × 14347¹ × 43049¹
LCM(86082,86098) = 3705744018