What is the Least Common Multiple of 16104 and 16109?

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 16104 and 16109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16104 and 16109, than apply into the LCM equation.

GCF(16104,16109) = 1
LCM(16104,16109) = ( 16104 × 16109) / 1
LCM(16104,16109) = 259419336 / 1
LCM(16104,16109) = 259419336

Least Common Multiple (LCM) of 16104 and 16109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16104 and 16109. First we will calculate the prime factors of 16104 and 16109.

Prime Factorization of 16104

Prime Factorization of 16109

Now multiplying the highest exponent prime factors to calculate the LCM of 16104 and 16109.

LCM(16104,16109) = 2³ × 3¹ × 11¹ × 61¹ × 89¹ × 181¹
LCM(16104,16109) = 259419336