What is the Least Common Multiple of 29007 and 29017?

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 29007 and 29017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29007 and 29017, than apply into the LCM equation.

GCF(29007,29017) = 1
LCM(29007,29017) = ( 29007 × 29017) / 1
LCM(29007,29017) = 841696119 / 1
LCM(29007,29017) = 841696119

Least Common Multiple (LCM) of 29007 and 29017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29007 and 29017. First we will calculate the prime factors of 29007 and 29017.

Prime Factorization of 29007

Prime Factorization of 29017

Now multiplying the highest exponent prime factors to calculate the LCM of 29007 and 29017.

LCM(29007,29017) = 3² × 11¹ × 293¹ × 29017¹
LCM(29007,29017) = 841696119