What is the Least Common Multiple of 16125 and 16141?

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 16141 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 16141, than apply into the LCM equation.

GCF(16125,16141) = 1
LCM(16125,16141) = ( 16125 × 16141) / 1
LCM(16125,16141) = 260273625 / 1
LCM(16125,16141) = 260273625

Least Common Multiple (LCM) of 16125 and 16141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16125 and 16141. First we will calculate the prime factors of 16125 and 16141.

Prime Factorization of 16125

Prime Factorization of 16141

Now multiplying the highest exponent prime factors to calculate the LCM of 16125 and 16141.

LCM(16125,16141) = 3¹ × 5³ × 43¹ × 16141¹
LCM(16125,16141) = 260273625