What is the Least Common Multiple of 20756 and 20774?

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 20756 and 20774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20756 and 20774, than apply into the LCM equation.

GCF(20756,20774) = 2
LCM(20756,20774) = ( 20756 × 20774) / 2
LCM(20756,20774) = 431185144 / 2
LCM(20756,20774) = 215592572

Least Common Multiple (LCM) of 20756 and 20774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20756 and 20774. First we will calculate the prime factors of 20756 and 20774.

Prime Factorization of 20756

Prime Factorization of 20774

Now multiplying the highest exponent prime factors to calculate the LCM of 20756 and 20774.

LCM(20756,20774) = 2² × 5189¹ × 13¹ × 17¹ × 47¹
LCM(20756,20774) = 215592572