What is the Least Common Multiple of 29001 and 29009?

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 29001 and 29009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29001 and 29009, than apply into the LCM equation.

GCF(29001,29009) = 1
LCM(29001,29009) = ( 29001 × 29009) / 1
LCM(29001,29009) = 841290009 / 1
LCM(29001,29009) = 841290009

Least Common Multiple (LCM) of 29001 and 29009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29001 and 29009. First we will calculate the prime factors of 29001 and 29009.

Prime Factorization of 29001

Prime Factorization of 29009

Now multiplying the highest exponent prime factors to calculate the LCM of 29001 and 29009.

LCM(29001,29009) = 3¹ × 7¹ × 1381¹ × 29009¹
LCM(29001,29009) = 841290009