What is the Least Common Multiple of 16096 and 16115?

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 16096 and 16115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16096 and 16115, than apply into the LCM equation.

GCF(16096,16115) = 1
LCM(16096,16115) = ( 16096 × 16115) / 1
LCM(16096,16115) = 259387040 / 1
LCM(16096,16115) = 259387040

Least Common Multiple (LCM) of 16096 and 16115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16096 and 16115. First we will calculate the prime factors of 16096 and 16115.

Prime Factorization of 16096

Prime Factorization of 16115

Now multiplying the highest exponent prime factors to calculate the LCM of 16096 and 16115.

LCM(16096,16115) = 2⁵ × 503¹ × 5¹ × 11¹ × 293¹
LCM(16096,16115) = 259387040