What is the Least Common Multiple of 14401 and 14416?

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 14401 and 14416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14401 and 14416, than apply into the LCM equation.

GCF(14401,14416) = 1
LCM(14401,14416) = ( 14401 × 14416) / 1
LCM(14401,14416) = 207604816 / 1
LCM(14401,14416) = 207604816

Least Common Multiple (LCM) of 14401 and 14416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14401 and 14416. First we will calculate the prime factors of 14401 and 14416.

Prime Factorization of 14401

Prime Factorization of 14416

Now multiplying the highest exponent prime factors to calculate the LCM of 14401 and 14416.

LCM(14401,14416) = 14401¹ × 2⁴ × 17¹ × 53¹
LCM(14401,14416) = 207604816