What is the Least Common Multiple of 12002 and 12022?

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 12002 and 12022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12002 and 12022, than apply into the LCM equation.

GCF(12002,12022) = 2
LCM(12002,12022) = ( 12002 × 12022) / 2
LCM(12002,12022) = 144288044 / 2
LCM(12002,12022) = 72144022

Least Common Multiple (LCM) of 12002 and 12022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12002 and 12022. First we will calculate the prime factors of 12002 and 12022.

Prime Factorization of 12002

Prime Factorization of 12022

Now multiplying the highest exponent prime factors to calculate the LCM of 12002 and 12022.

LCM(12002,12022) = 2¹ × 17¹ × 353¹ × 6011¹
LCM(12002,12022) = 72144022