What is the Least Common Multiple of 20774 and 20786?

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 20774 and 20786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20774 and 20786, than apply into the LCM equation.

GCF(20774,20786) = 2
LCM(20774,20786) = ( 20774 × 20786) / 2
LCM(20774,20786) = 431808364 / 2
LCM(20774,20786) = 215904182

Least Common Multiple (LCM) of 20774 and 20786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20774 and 20786. First we will calculate the prime factors of 20774 and 20786.

Prime Factorization of 20774

Prime Factorization of 20786

Now multiplying the highest exponent prime factors to calculate the LCM of 20774 and 20786.

LCM(20774,20786) = 2¹ × 13¹ × 17¹ × 47¹ × 19¹ × 547¹
LCM(20774,20786) = 215904182