What is the Least Common Multiple of 29008 and 29023?

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 29008 and 29023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29008 and 29023, than apply into the LCM equation.

GCF(29008,29023) = 1
LCM(29008,29023) = ( 29008 × 29023) / 1
LCM(29008,29023) = 841899184 / 1
LCM(29008,29023) = 841899184

Least Common Multiple (LCM) of 29008 and 29023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29008 and 29023. First we will calculate the prime factors of 29008 and 29023.

Prime Factorization of 29008

Prime Factorization of 29023

Now multiplying the highest exponent prime factors to calculate the LCM of 29008 and 29023.

LCM(29008,29023) = 2⁴ × 7² × 37¹ × 29023¹
LCM(29008,29023) = 841899184