What is the Least Common Multiple of 12099 and 12106?

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 12106 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 12106, than apply into the LCM equation.

GCF(12099,12106) = 1
LCM(12099,12106) = ( 12099 × 12106) / 1
LCM(12099,12106) = 146470494 / 1
LCM(12099,12106) = 146470494

Least Common Multiple (LCM) of 12099 and 12106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12099 and 12106. First we will calculate the prime factors of 12099 and 12106.

Prime Factorization of 12099

Prime Factorization of 12106

Now multiplying the highest exponent prime factors to calculate the LCM of 12099 and 12106.

LCM(12099,12106) = 3¹ × 37¹ × 109¹ × 2¹ × 6053¹
LCM(12099,12106) = 146470494