What is the Least Common Multiple of 29003 and 29011?

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 29003 and 29011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29003 and 29011, than apply into the LCM equation.

GCF(29003,29011) = 1
LCM(29003,29011) = ( 29003 × 29011) / 1
LCM(29003,29011) = 841406033 / 1
LCM(29003,29011) = 841406033

Least Common Multiple (LCM) of 29003 and 29011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29003 and 29011. First we will calculate the prime factors of 29003 and 29011.

Prime Factorization of 29003

Prime Factorization of 29011

Now multiplying the highest exponent prime factors to calculate the LCM of 29003 and 29011.

LCM(29003,29011) = 13¹ × 23¹ × 97¹ × 67¹ × 433¹
LCM(29003,29011) = 841406033