What is the Least Common Multiple of 82609 and 82621?

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 82609 and 82621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82609 and 82621, than apply into the LCM equation.

GCF(82609,82621) = 1
LCM(82609,82621) = ( 82609 × 82621) / 1
LCM(82609,82621) = 6825238189 / 1
LCM(82609,82621) = 6825238189

Least Common Multiple (LCM) of 82609 and 82621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82609 and 82621. First we will calculate the prime factors of 82609 and 82621.

Prime Factorization of 82609

Prime Factorization of 82621

Now multiplying the highest exponent prime factors to calculate the LCM of 82609 and 82621.

LCM(82609,82621) = 82609¹ × 7¹ × 11¹ × 29¹ × 37¹
LCM(82609,82621) = 6825238189