What is the Least Common Multiple of 14204 and 14216?

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 14204 and 14216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14204 and 14216, than apply into the LCM equation.

GCF(14204,14216) = 4
LCM(14204,14216) = ( 14204 × 14216) / 4
LCM(14204,14216) = 201924064 / 4
LCM(14204,14216) = 50481016

Least Common Multiple (LCM) of 14204 and 14216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14204 and 14216. First we will calculate the prime factors of 14204 and 14216.

Prime Factorization of 14204

Prime Factorization of 14216

Now multiplying the highest exponent prime factors to calculate the LCM of 14204 and 14216.

LCM(14204,14216) = 2³ × 53¹ × 67¹ × 1777¹
LCM(14204,14216) = 50481016