What is the Least Common Multiple of 82209 and 82213?

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 82209 and 82213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82209 and 82213, than apply into the LCM equation.

GCF(82209,82213) = 1
LCM(82209,82213) = ( 82209 × 82213) / 1
LCM(82209,82213) = 6758648517 / 1
LCM(82209,82213) = 6758648517

Least Common Multiple (LCM) of 82209 and 82213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82209 and 82213. First we will calculate the prime factors of 82209 and 82213.

Prime Factorization of 82209

Prime Factorization of 82213

Now multiplying the highest exponent prime factors to calculate the LCM of 82209 and 82213.

LCM(82209,82213) = 3¹ × 67¹ × 409¹ × 19¹ × 4327¹
LCM(82209,82213) = 6758648517