What is the Least Common Multiple of 13785 and 13804?

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 13785 and 13804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13785 and 13804, than apply into the LCM equation.

GCF(13785,13804) = 1
LCM(13785,13804) = ( 13785 × 13804) / 1
LCM(13785,13804) = 190288140 / 1
LCM(13785,13804) = 190288140

Least Common Multiple (LCM) of 13785 and 13804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13785 and 13804. First we will calculate the prime factors of 13785 and 13804.

Prime Factorization of 13785

Prime Factorization of 13804

Now multiplying the highest exponent prime factors to calculate the LCM of 13785 and 13804.

LCM(13785,13804) = 3¹ × 5¹ × 919¹ × 2² × 7¹ × 17¹ × 29¹
LCM(13785,13804) = 190288140