What is the Least Common Multiple of 17794 and 17806?

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 17794 and 17806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17794 and 17806, than apply into the LCM equation.

GCF(17794,17806) = 2
LCM(17794,17806) = ( 17794 × 17806) / 2
LCM(17794,17806) = 316839964 / 2
LCM(17794,17806) = 158419982

Least Common Multiple (LCM) of 17794 and 17806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17794 and 17806. First we will calculate the prime factors of 17794 and 17806.

Prime Factorization of 17794

Prime Factorization of 17806

Now multiplying the highest exponent prime factors to calculate the LCM of 17794 and 17806.

LCM(17794,17806) = 2¹ × 7¹ × 31¹ × 41¹ × 29¹ × 307¹
LCM(17794,17806) = 158419982