What is the Least Common Multiple of 11204 and 11214?

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 11204 and 11214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11204 and 11214, than apply into the LCM equation.

GCF(11204,11214) = 2
LCM(11204,11214) = ( 11204 × 11214) / 2
LCM(11204,11214) = 125641656 / 2
LCM(11204,11214) = 62820828

Least Common Multiple (LCM) of 11204 and 11214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11204 and 11214. First we will calculate the prime factors of 11204 and 11214.

Prime Factorization of 11204

Prime Factorization of 11214

Now multiplying the highest exponent prime factors to calculate the LCM of 11204 and 11214.

LCM(11204,11214) = 2² × 2801¹ × 3² × 7¹ × 89¹
LCM(11204,11214) = 62820828