What is the Least Common Multiple of 16087 and 16102?

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 16087 and 16102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16087 and 16102, than apply into the LCM equation.

GCF(16087,16102) = 1
LCM(16087,16102) = ( 16087 × 16102) / 1
LCM(16087,16102) = 259032874 / 1
LCM(16087,16102) = 259032874

Least Common Multiple (LCM) of 16087 and 16102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16087 and 16102. First we will calculate the prime factors of 16087 and 16102.

Prime Factorization of 16087

Prime Factorization of 16102

Now multiplying the highest exponent prime factors to calculate the LCM of 16087 and 16102.

LCM(16087,16102) = 16087¹ × 2¹ × 83¹ × 97¹
LCM(16087,16102) = 259032874