What is the Least Common Multiple of 16125 and 16144?

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 16125 and 16144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16125 and 16144, than apply into the LCM equation.

GCF(16125,16144) = 1
LCM(16125,16144) = ( 16125 × 16144) / 1
LCM(16125,16144) = 260322000 / 1
LCM(16125,16144) = 260322000

Least Common Multiple (LCM) of 16125 and 16144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16125 and 16144. First we will calculate the prime factors of 16125 and 16144.

Prime Factorization of 16125

Prime Factorization of 16144

Now multiplying the highest exponent prime factors to calculate the LCM of 16125 and 16144.

LCM(16125,16144) = 3¹ × 5³ × 43¹ × 2⁴ × 1009¹
LCM(16125,16144) = 260322000