What is the Least Common Multiple of 12029 and 12044?

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 12029 and 12044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12029 and 12044, than apply into the LCM equation.

GCF(12029,12044) = 1
LCM(12029,12044) = ( 12029 × 12044) / 1
LCM(12029,12044) = 144877276 / 1
LCM(12029,12044) = 144877276

Least Common Multiple (LCM) of 12029 and 12044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12029 and 12044. First we will calculate the prime factors of 12029 and 12044.

Prime Factorization of 12029

Prime Factorization of 12044

Now multiplying the highest exponent prime factors to calculate the LCM of 12029 and 12044.

LCM(12029,12044) = 23¹ × 523¹ × 2² × 3011¹
LCM(12029,12044) = 144877276