What is the Least Common Multiple of 39804 and 39809?

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 39804 and 39809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39804 and 39809, than apply into the LCM equation.

GCF(39804,39809) = 1
LCM(39804,39809) = ( 39804 × 39809) / 1
LCM(39804,39809) = 1584557436 / 1
LCM(39804,39809) = 1584557436

Least Common Multiple (LCM) of 39804 and 39809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39804 and 39809. First we will calculate the prime factors of 39804 and 39809.

Prime Factorization of 39804

Prime Factorization of 39809

Now multiplying the highest exponent prime factors to calculate the LCM of 39804 and 39809.

LCM(39804,39809) = 2² × 3¹ × 31¹ × 107¹ × 7¹ × 11² × 47¹
LCM(39804,39809) = 1584557436