What is the Least Common Multiple of 29500 and 29505?

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 29500 and 29505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29500 and 29505, than apply into the LCM equation.

GCF(29500,29505) = 5
LCM(29500,29505) = ( 29500 × 29505) / 5
LCM(29500,29505) = 870397500 / 5
LCM(29500,29505) = 174079500

Least Common Multiple (LCM) of 29500 and 29505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29500 and 29505. First we will calculate the prime factors of 29500 and 29505.

Prime Factorization of 29500

Prime Factorization of 29505

Now multiplying the highest exponent prime factors to calculate the LCM of 29500 and 29505.

LCM(29500,29505) = 2² × 5³ × 59¹ × 3¹ × 7¹ × 281¹
LCM(29500,29505) = 174079500