What is the Least Common Multiple of 82347 and 82360?

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 82347 and 82360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82347 and 82360, than apply into the LCM equation.

GCF(82347,82360) = 1
LCM(82347,82360) = ( 82347 × 82360) / 1
LCM(82347,82360) = 6782098920 / 1
LCM(82347,82360) = 6782098920

Least Common Multiple (LCM) of 82347 and 82360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82347 and 82360. First we will calculate the prime factors of 82347 and 82360.

Prime Factorization of 82347

Prime Factorization of 82360

Now multiplying the highest exponent prime factors to calculate the LCM of 82347 and 82360.

LCM(82347,82360) = 3¹ × 27449¹ × 2³ × 5¹ × 29¹ × 71¹
LCM(82347,82360) = 6782098920