What is the Least Common Multiple of 20250 and 20264?

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 20250 and 20264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20250 and 20264, than apply into the LCM equation.

GCF(20250,20264) = 2
LCM(20250,20264) = ( 20250 × 20264) / 2
LCM(20250,20264) = 410346000 / 2
LCM(20250,20264) = 205173000

Least Common Multiple (LCM) of 20250 and 20264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20250 and 20264. First we will calculate the prime factors of 20250 and 20264.

Prime Factorization of 20250

Prime Factorization of 20264

Now multiplying the highest exponent prime factors to calculate the LCM of 20250 and 20264.

LCM(20250,20264) = 2³ × 3⁴ × 5³ × 17¹ × 149¹
LCM(20250,20264) = 205173000