What is the Least Common Multiple of 16095 and 16103?

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 16095 and 16103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16095 and 16103, than apply into the LCM equation.

GCF(16095,16103) = 1
LCM(16095,16103) = ( 16095 × 16103) / 1
LCM(16095,16103) = 259177785 / 1
LCM(16095,16103) = 259177785

Least Common Multiple (LCM) of 16095 and 16103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16095 and 16103. First we will calculate the prime factors of 16095 and 16103.

Prime Factorization of 16095

Prime Factorization of 16103

Now multiplying the highest exponent prime factors to calculate the LCM of 16095 and 16103.

LCM(16095,16103) = 3¹ × 5¹ × 29¹ × 37¹ × 16103¹
LCM(16095,16103) = 259177785