What is the Least Common Multiple of 16419 and 16438?

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 16419 and 16438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16419 and 16438, than apply into the LCM equation.

GCF(16419,16438) = 1
LCM(16419,16438) = ( 16419 × 16438) / 1
LCM(16419,16438) = 269895522 / 1
LCM(16419,16438) = 269895522

Least Common Multiple (LCM) of 16419 and 16438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16419 and 16438. First we will calculate the prime factors of 16419 and 16438.

Prime Factorization of 16419

Prime Factorization of 16438

Now multiplying the highest exponent prime factors to calculate the LCM of 16419 and 16438.

LCM(16419,16438) = 3¹ × 13¹ × 421¹ × 2¹ × 8219¹
LCM(16419,16438) = 269895522