What is the Least Common Multiple of 20900 and 20905?

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 20905 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 20905, than apply into the LCM equation.

GCF(20900,20905) = 5
LCM(20900,20905) = ( 20900 × 20905) / 5
LCM(20900,20905) = 436914500 / 5
LCM(20900,20905) = 87382900

Least Common Multiple (LCM) of 20900 and 20905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20900 and 20905. First we will calculate the prime factors of 20900 and 20905.

Prime Factorization of 20900

Prime Factorization of 20905

Now multiplying the highest exponent prime factors to calculate the LCM of 20900 and 20905.

LCM(20900,20905) = 2² × 5² × 11¹ × 19¹ × 37¹ × 113¹
LCM(20900,20905) = 87382900