What is the Least Common Multiple of 20010 and 20025?

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 20010 and 20025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20010 and 20025, than apply into the LCM equation.

GCF(20010,20025) = 15
LCM(20010,20025) = ( 20010 × 20025) / 15
LCM(20010,20025) = 400700250 / 15
LCM(20010,20025) = 26713350

Least Common Multiple (LCM) of 20010 and 20025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20010 and 20025. First we will calculate the prime factors of 20010 and 20025.

Prime Factorization of 20010

Prime Factorization of 20025

Now multiplying the highest exponent prime factors to calculate the LCM of 20010 and 20025.

LCM(20010,20025) = 2¹ × 3² × 5² × 23¹ × 29¹ × 89¹
LCM(20010,20025) = 26713350