What is the Least Common Multiple of 29010 and 29025?

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 29010 and 29025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29010 and 29025, than apply into the LCM equation.

GCF(29010,29025) = 15
LCM(29010,29025) = ( 29010 × 29025) / 15
LCM(29010,29025) = 842015250 / 15
LCM(29010,29025) = 56134350

Least Common Multiple (LCM) of 29010 and 29025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29010 and 29025. First we will calculate the prime factors of 29010 and 29025.

Prime Factorization of 29010

Prime Factorization of 29025

Now multiplying the highest exponent prime factors to calculate the LCM of 29010 and 29025.

LCM(29010,29025) = 2¹ × 3³ × 5² × 967¹ × 43¹
LCM(29010,29025) = 56134350