What is the Least Common Multiple of 32746 and 32763?

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 32746 and 32763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32746 and 32763, than apply into the LCM equation.

GCF(32746,32763) = 1
LCM(32746,32763) = ( 32746 × 32763) / 1
LCM(32746,32763) = 1072857198 / 1
LCM(32746,32763) = 1072857198

Least Common Multiple (LCM) of 32746 and 32763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32746 and 32763. First we will calculate the prime factors of 32746 and 32763.

Prime Factorization of 32746

Prime Factorization of 32763

Now multiplying the highest exponent prime factors to calculate the LCM of 32746 and 32763.

LCM(32746,32763) = 2¹ × 7¹ × 2339¹ × 3¹ × 67¹ × 163¹
LCM(32746,32763) = 1072857198