What is the Least Common Multiple of 16289 and 16296?

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 16289 and 16296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16289 and 16296, than apply into the LCM equation.

GCF(16289,16296) = 7
LCM(16289,16296) = ( 16289 × 16296) / 7
LCM(16289,16296) = 265445544 / 7
LCM(16289,16296) = 37920792

Least Common Multiple (LCM) of 16289 and 16296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16289 and 16296. First we will calculate the prime factors of 16289 and 16296.

Prime Factorization of 16289

Prime Factorization of 16296

Now multiplying the highest exponent prime factors to calculate the LCM of 16289 and 16296.

LCM(16289,16296) = 7¹ × 13¹ × 179¹ × 2³ × 3¹ × 97¹
LCM(16289,16296) = 37920792