What is the Least Common Multiple of 20250 and 20259?

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 20259 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 20259, than apply into the LCM equation.

GCF(20250,20259) = 9
LCM(20250,20259) = ( 20250 × 20259) / 9
LCM(20250,20259) = 410244750 / 9
LCM(20250,20259) = 45582750

Least Common Multiple (LCM) of 20250 and 20259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20250 and 20259. First we will calculate the prime factors of 20250 and 20259.

Prime Factorization of 20250

Prime Factorization of 20259

Now multiplying the highest exponent prime factors to calculate the LCM of 20250 and 20259.

LCM(20250,20259) = 2¹ × 3⁴ × 5³ × 2251¹
LCM(20250,20259) = 45582750