What is the Least Common Multiple of 11802 and 11809?

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 11802 and 11809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11802 and 11809, than apply into the LCM equation.

GCF(11802,11809) = 7
LCM(11802,11809) = ( 11802 × 11809) / 7
LCM(11802,11809) = 139369818 / 7
LCM(11802,11809) = 19909974

Least Common Multiple (LCM) of 11802 and 11809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11802 and 11809. First we will calculate the prime factors of 11802 and 11809.

Prime Factorization of 11802

Prime Factorization of 11809

Now multiplying the highest exponent prime factors to calculate the LCM of 11802 and 11809.

LCM(11802,11809) = 2¹ × 3¹ × 7² × 281¹ × 241¹
LCM(11802,11809) = 19909974