What is the Least Common Multiple of 29005 and 29020?

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 29005 and 29020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29005 and 29020, than apply into the LCM equation.

GCF(29005,29020) = 5
LCM(29005,29020) = ( 29005 × 29020) / 5
LCM(29005,29020) = 841725100 / 5
LCM(29005,29020) = 168345020

Least Common Multiple (LCM) of 29005 and 29020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29005 and 29020. First we will calculate the prime factors of 29005 and 29020.

Prime Factorization of 29005

Prime Factorization of 29020

Now multiplying the highest exponent prime factors to calculate the LCM of 29005 and 29020.

LCM(29005,29020) = 5¹ × 5801¹ × 2² × 1451¹
LCM(29005,29020) = 168345020