What is the Least Common Multiple of 82335 and 82347?

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 82335 and 82347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82335 and 82347, than apply into the LCM equation.

GCF(82335,82347) = 3
LCM(82335,82347) = ( 82335 × 82347) / 3
LCM(82335,82347) = 6780040245 / 3
LCM(82335,82347) = 2260013415

Least Common Multiple (LCM) of 82335 and 82347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82335 and 82347. First we will calculate the prime factors of 82335 and 82347.

Prime Factorization of 82335

Prime Factorization of 82347

Now multiplying the highest exponent prime factors to calculate the LCM of 82335 and 82347.

LCM(82335,82347) = 3¹ × 5¹ × 11¹ × 499¹ × 27449¹
LCM(82335,82347) = 2260013415