What is the Least Common Multiple of 82369 and 82377?

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 82369 and 82377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82369 and 82377, than apply into the LCM equation.

GCF(82369,82377) = 1
LCM(82369,82377) = ( 82369 × 82377) / 1
LCM(82369,82377) = 6785311113 / 1
LCM(82369,82377) = 6785311113

Least Common Multiple (LCM) of 82369 and 82377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82369 and 82377. First we will calculate the prime factors of 82369 and 82377.

Prime Factorization of 82369

Prime Factorization of 82377

Now multiplying the highest exponent prime factors to calculate the LCM of 82369 and 82377.

LCM(82369,82377) = 7² × 41² × 3⁶ × 113¹
LCM(82369,82377) = 6785311113