What is the Least Common Multiple of 82289 and 82307?

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 82289 and 82307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82289 and 82307, than apply into the LCM equation.

GCF(82289,82307) = 1
LCM(82289,82307) = ( 82289 × 82307) / 1
LCM(82289,82307) = 6772960723 / 1
LCM(82289,82307) = 6772960723

Least Common Multiple (LCM) of 82289 and 82307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82289 and 82307. First we will calculate the prime factors of 82289 and 82307.

Prime Factorization of 82289

Prime Factorization of 82307

Now multiplying the highest exponent prime factors to calculate the LCM of 82289 and 82307.

LCM(82289,82307) = 19¹ × 61¹ × 71¹ × 82307¹
LCM(82289,82307) = 6772960723