What is the Least Common Multiple of 18596 and 18605?

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 18596 and 18605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18596 and 18605, than apply into the LCM equation.

GCF(18596,18605) = 1
LCM(18596,18605) = ( 18596 × 18605) / 1
LCM(18596,18605) = 345978580 / 1
LCM(18596,18605) = 345978580

Least Common Multiple (LCM) of 18596 and 18605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18596 and 18605. First we will calculate the prime factors of 18596 and 18605.

Prime Factorization of 18596

Prime Factorization of 18605

Now multiplying the highest exponent prime factors to calculate the LCM of 18596 and 18605.

LCM(18596,18605) = 2² × 4649¹ × 5¹ × 61²
LCM(18596,18605) = 345978580