What is the Least Common Multiple of 16275 and 16289?

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 16275 and 16289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16275 and 16289, than apply into the LCM equation.

GCF(16275,16289) = 7
LCM(16275,16289) = ( 16275 × 16289) / 7
LCM(16275,16289) = 265103475 / 7
LCM(16275,16289) = 37871925

Least Common Multiple (LCM) of 16275 and 16289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16275 and 16289. First we will calculate the prime factors of 16275 and 16289.

Prime Factorization of 16275

Prime Factorization of 16289

Now multiplying the highest exponent prime factors to calculate the LCM of 16275 and 16289.

LCM(16275,16289) = 3¹ × 5² × 7¹ × 31¹ × 13¹ × 179¹
LCM(16275,16289) = 37871925