What is the Least Common Multiple of 16369 and 16376?

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 16369 and 16376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16369 and 16376, than apply into the LCM equation.

GCF(16369,16376) = 1
LCM(16369,16376) = ( 16369 × 16376) / 1
LCM(16369,16376) = 268058744 / 1
LCM(16369,16376) = 268058744

Least Common Multiple (LCM) of 16369 and 16376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16369 and 16376. First we will calculate the prime factors of 16369 and 16376.

Prime Factorization of 16369

Prime Factorization of 16376

Now multiplying the highest exponent prime factors to calculate the LCM of 16369 and 16376.

LCM(16369,16376) = 16369¹ × 2³ × 23¹ × 89¹
LCM(16369,16376) = 268058744