What is the Least Common Multiple of 32082 and 32098?

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 32082 and 32098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32082 and 32098, than apply into the LCM equation.

GCF(32082,32098) = 2
LCM(32082,32098) = ( 32082 × 32098) / 2
LCM(32082,32098) = 1029768036 / 2
LCM(32082,32098) = 514884018

Least Common Multiple (LCM) of 32082 and 32098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32082 and 32098. First we will calculate the prime factors of 32082 and 32098.

Prime Factorization of 32082

Prime Factorization of 32098

Now multiplying the highest exponent prime factors to calculate the LCM of 32082 and 32098.

LCM(32082,32098) = 2¹ × 3¹ × 5347¹ × 11¹ × 1459¹
LCM(32082,32098) = 514884018