What is the Least Common Multiple of 14450 and 14461?

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 14450 and 14461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14450 and 14461, than apply into the LCM equation.

GCF(14450,14461) = 1
LCM(14450,14461) = ( 14450 × 14461) / 1
LCM(14450,14461) = 208961450 / 1
LCM(14450,14461) = 208961450

Least Common Multiple (LCM) of 14450 and 14461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14450 and 14461. First we will calculate the prime factors of 14450 and 14461.

Prime Factorization of 14450

Prime Factorization of 14461

Now multiplying the highest exponent prime factors to calculate the LCM of 14450 and 14461.

LCM(14450,14461) = 2¹ × 5² × 17² × 14461¹
LCM(14450,14461) = 208961450