What is the Least Common Multiple of 12099 and 12104?

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 12099 and 12104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12099 and 12104, than apply into the LCM equation.

GCF(12099,12104) = 1
LCM(12099,12104) = ( 12099 × 12104) / 1
LCM(12099,12104) = 146446296 / 1
LCM(12099,12104) = 146446296

Least Common Multiple (LCM) of 12099 and 12104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12099 and 12104. First we will calculate the prime factors of 12099 and 12104.

Prime Factorization of 12099

Prime Factorization of 12104

Now multiplying the highest exponent prime factors to calculate the LCM of 12099 and 12104.

LCM(12099,12104) = 3¹ × 37¹ × 109¹ × 2³ × 17¹ × 89¹
LCM(12099,12104) = 146446296