What is the Least Common Multiple of 20900 and 20918?

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 20900 and 20918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20900 and 20918, than apply into the LCM equation.

GCF(20900,20918) = 2
LCM(20900,20918) = ( 20900 × 20918) / 2
LCM(20900,20918) = 437186200 / 2
LCM(20900,20918) = 218593100

Least Common Multiple (LCM) of 20900 and 20918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20900 and 20918. First we will calculate the prime factors of 20900 and 20918.

Prime Factorization of 20900

Prime Factorization of 20918

Now multiplying the highest exponent prime factors to calculate the LCM of 20900 and 20918.

LCM(20900,20918) = 2² × 5² × 11¹ × 19¹ × 10459¹
LCM(20900,20918) = 218593100