What is the Least Common Multiple of 18783 and 18794?

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 18783 and 18794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18783 and 18794, than apply into the LCM equation.

GCF(18783,18794) = 1
LCM(18783,18794) = ( 18783 × 18794) / 1
LCM(18783,18794) = 353007702 / 1
LCM(18783,18794) = 353007702

Least Common Multiple (LCM) of 18783 and 18794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18783 and 18794. First we will calculate the prime factors of 18783 and 18794.

Prime Factorization of 18783

Prime Factorization of 18794

Now multiplying the highest exponent prime factors to calculate the LCM of 18783 and 18794.

LCM(18783,18794) = 3² × 2087¹ × 2¹ × 9397¹
LCM(18783,18794) = 353007702