What is the Least Common Multiple of 16408 and 16427?

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 16408 and 16427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16408 and 16427, than apply into the LCM equation.

GCF(16408,16427) = 1
LCM(16408,16427) = ( 16408 × 16427) / 1
LCM(16408,16427) = 269534216 / 1
LCM(16408,16427) = 269534216

Least Common Multiple (LCM) of 16408 and 16427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16408 and 16427. First we will calculate the prime factors of 16408 and 16427.

Prime Factorization of 16408

Prime Factorization of 16427

Now multiplying the highest exponent prime factors to calculate the LCM of 16408 and 16427.

LCM(16408,16427) = 2³ × 7¹ × 293¹ × 16427¹
LCM(16408,16427) = 269534216