What is the Least Common Multiple of 21007 and 21017?

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 21007 and 21017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21007 and 21017, than apply into the LCM equation.

GCF(21007,21017) = 1
LCM(21007,21017) = ( 21007 × 21017) / 1
LCM(21007,21017) = 441504119 / 1
LCM(21007,21017) = 441504119

Least Common Multiple (LCM) of 21007 and 21017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21007 and 21017. First we will calculate the prime factors of 21007 and 21017.

Prime Factorization of 21007

Prime Factorization of 21017

Now multiplying the highest exponent prime factors to calculate the LCM of 21007 and 21017.

LCM(21007,21017) = 7¹ × 3001¹ × 21017¹
LCM(21007,21017) = 441504119