What is the Least Common Multiple of 82658 and 82669?

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 82658 and 82669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82658 and 82669, than apply into the LCM equation.

GCF(82658,82669) = 1
LCM(82658,82669) = ( 82658 × 82669) / 1
LCM(82658,82669) = 6833254202 / 1
LCM(82658,82669) = 6833254202

Least Common Multiple (LCM) of 82658 and 82669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82658 and 82669. First we will calculate the prime factors of 82658 and 82669.

Prime Factorization of 82658

Prime Factorization of 82669

Now multiplying the highest exponent prime factors to calculate the LCM of 82658 and 82669.

LCM(82658,82669) = 2¹ × 37¹ × 1117¹ × 19² × 229¹
LCM(82658,82669) = 6833254202