What is the Least Common Multiple of 20007 and 20026?

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 20007 and 20026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20007 and 20026, than apply into the LCM equation.

GCF(20007,20026) = 19
LCM(20007,20026) = ( 20007 × 20026) / 19
LCM(20007,20026) = 400660182 / 19
LCM(20007,20026) = 21087378

Least Common Multiple (LCM) of 20007 and 20026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20007 and 20026. First we will calculate the prime factors of 20007 and 20026.

Prime Factorization of 20007

Prime Factorization of 20026

Now multiplying the highest exponent prime factors to calculate the LCM of 20007 and 20026.

LCM(20007,20026) = 3⁴ × 13¹ × 19¹ × 2¹ × 17¹ × 31¹
LCM(20007,20026) = 21087378