What is the Least Common Multiple of 11998 and 12005?

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 11998 and 12005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11998 and 12005, than apply into the LCM equation.

GCF(11998,12005) = 7
LCM(11998,12005) = ( 11998 × 12005) / 7
LCM(11998,12005) = 144035990 / 7
LCM(11998,12005) = 20576570

Least Common Multiple (LCM) of 11998 and 12005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11998 and 12005. First we will calculate the prime factors of 11998 and 12005.

Prime Factorization of 11998

Prime Factorization of 12005

Now multiplying the highest exponent prime factors to calculate the LCM of 11998 and 12005.

LCM(11998,12005) = 2¹ × 7⁴ × 857¹ × 5¹
LCM(11998,12005) = 20576570