What is the Least Common Multiple of 82758 and 82763?

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 82758 and 82763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82758 and 82763, than apply into the LCM equation.

GCF(82758,82763) = 1
LCM(82758,82763) = ( 82758 × 82763) / 1
LCM(82758,82763) = 6849300354 / 1
LCM(82758,82763) = 6849300354

Least Common Multiple (LCM) of 82758 and 82763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82758 and 82763. First we will calculate the prime factors of 82758 and 82763.

Prime Factorization of 82758

Prime Factorization of 82763

Now multiplying the highest exponent prime factors to calculate the LCM of 82758 and 82763.

LCM(82758,82763) = 2¹ × 3¹ × 13¹ × 1061¹ × 82763¹
LCM(82758,82763) = 6849300354