What is the Least Common Multiple of 82749 and 82768?

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 82749 and 82768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82749 and 82768, than apply into the LCM equation.

GCF(82749,82768) = 1
LCM(82749,82768) = ( 82749 × 82768) / 1
LCM(82749,82768) = 6848969232 / 1
LCM(82749,82768) = 6848969232

Least Common Multiple (LCM) of 82749 and 82768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82749 and 82768. First we will calculate the prime factors of 82749 and 82768.

Prime Factorization of 82749

Prime Factorization of 82768

Now multiplying the highest exponent prime factors to calculate the LCM of 82749 and 82768.

LCM(82749,82768) = 3¹ × 27583¹ × 2⁴ × 7¹ × 739¹
LCM(82749,82768) = 6848969232