What is the Least Common Multiple of 20736 and 20745?

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 20736 and 20745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20736 and 20745, than apply into the LCM equation.

GCF(20736,20745) = 9
LCM(20736,20745) = ( 20736 × 20745) / 9
LCM(20736,20745) = 430168320 / 9
LCM(20736,20745) = 47796480

Least Common Multiple (LCM) of 20736 and 20745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20736 and 20745. First we will calculate the prime factors of 20736 and 20745.

Prime Factorization of 20736

Prime Factorization of 20745

Now multiplying the highest exponent prime factors to calculate the LCM of 20736 and 20745.

LCM(20736,20745) = 2⁸ × 3⁴ × 5¹ × 461¹
LCM(20736,20745) = 47796480