What is the Least Common Multiple of 21100 and 21116?

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 21100 and 21116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21100 and 21116, than apply into the LCM equation.

GCF(21100,21116) = 4
LCM(21100,21116) = ( 21100 × 21116) / 4
LCM(21100,21116) = 445547600 / 4
LCM(21100,21116) = 111386900

Least Common Multiple (LCM) of 21100 and 21116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21100 and 21116. First we will calculate the prime factors of 21100 and 21116.

Prime Factorization of 21100

Prime Factorization of 21116

Now multiplying the highest exponent prime factors to calculate the LCM of 21100 and 21116.

LCM(21100,21116) = 2² × 5² × 211¹ × 5279¹
LCM(21100,21116) = 111386900