What is the Least Common Multiple of 20775 and 20782?

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 20775 and 20782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20775 and 20782, than apply into the LCM equation.

GCF(20775,20782) = 1
LCM(20775,20782) = ( 20775 × 20782) / 1
LCM(20775,20782) = 431746050 / 1
LCM(20775,20782) = 431746050

Least Common Multiple (LCM) of 20775 and 20782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20775 and 20782. First we will calculate the prime factors of 20775 and 20782.

Prime Factorization of 20775

Prime Factorization of 20782

Now multiplying the highest exponent prime factors to calculate the LCM of 20775 and 20782.

LCM(20775,20782) = 3¹ × 5² × 277¹ × 2¹ × 10391¹
LCM(20775,20782) = 431746050