What is the Least Common Multiple of 7803 and 7809?

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 7803 and 7809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7803 and 7809, than apply into the LCM equation.

GCF(7803,7809) = 3
LCM(7803,7809) = ( 7803 × 7809) / 3
LCM(7803,7809) = 60933627 / 3
LCM(7803,7809) = 20311209

Least Common Multiple (LCM) of 7803 and 7809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7803 and 7809. First we will calculate the prime factors of 7803 and 7809.

Prime Factorization of 7803

Prime Factorization of 7809

Now multiplying the highest exponent prime factors to calculate the LCM of 7803 and 7809.

LCM(7803,7809) = 3³ × 17² × 19¹ × 137¹
LCM(7803,7809) = 20311209