What is the Least Common Multiple of 20745 and 20763?

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 20745 and 20763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20745 and 20763, than apply into the LCM equation.

GCF(20745,20763) = 9
LCM(20745,20763) = ( 20745 × 20763) / 9
LCM(20745,20763) = 430728435 / 9
LCM(20745,20763) = 47858715

Least Common Multiple (LCM) of 20745 and 20763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20745 and 20763. First we will calculate the prime factors of 20745 and 20763.

Prime Factorization of 20745

Prime Factorization of 20763

Now multiplying the highest exponent prime factors to calculate the LCM of 20745 and 20763.

LCM(20745,20763) = 3³ × 5¹ × 461¹ × 769¹
LCM(20745,20763) = 47858715