What is the Least Common Multiple of 16409 and 16423?

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 16409 and 16423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16409 and 16423, than apply into the LCM equation.

GCF(16409,16423) = 1
LCM(16409,16423) = ( 16409 × 16423) / 1
LCM(16409,16423) = 269485007 / 1
LCM(16409,16423) = 269485007

Least Common Multiple (LCM) of 16409 and 16423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16409 and 16423. First we will calculate the prime factors of 16409 and 16423.

Prime Factorization of 16409

Prime Factorization of 16423

Now multiplying the highest exponent prime factors to calculate the LCM of 16409 and 16423.

LCM(16409,16423) = 61¹ × 269¹ × 11¹ × 1493¹
LCM(16409,16423) = 269485007