What is the Least Common Multiple of 16501 and 16514?

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 16501 and 16514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16501 and 16514, than apply into the LCM equation.

GCF(16501,16514) = 1
LCM(16501,16514) = ( 16501 × 16514) / 1
LCM(16501,16514) = 272497514 / 1
LCM(16501,16514) = 272497514

Least Common Multiple (LCM) of 16501 and 16514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16501 and 16514. First we will calculate the prime factors of 16501 and 16514.

Prime Factorization of 16501

Prime Factorization of 16514

Now multiplying the highest exponent prime factors to calculate the LCM of 16501 and 16514.

LCM(16501,16514) = 29¹ × 569¹ × 2¹ × 23¹ × 359¹
LCM(16501,16514) = 272497514