What is the Least Common Multiple of 20782 and 20802?

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 20782 and 20802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20782 and 20802, than apply into the LCM equation.

GCF(20782,20802) = 2
LCM(20782,20802) = ( 20782 × 20802) / 2
LCM(20782,20802) = 432307164 / 2
LCM(20782,20802) = 216153582

Least Common Multiple (LCM) of 20782 and 20802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20782 and 20802. First we will calculate the prime factors of 20782 and 20802.

Prime Factorization of 20782

Prime Factorization of 20802

Now multiplying the highest exponent prime factors to calculate the LCM of 20782 and 20802.

LCM(20782,20802) = 2¹ × 10391¹ × 3¹ × 3467¹
LCM(20782,20802) = 216153582