What is the Least Common Multiple of 16335 and 16342?

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 16335 and 16342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16335 and 16342, than apply into the LCM equation.

GCF(16335,16342) = 1
LCM(16335,16342) = ( 16335 × 16342) / 1
LCM(16335,16342) = 266946570 / 1
LCM(16335,16342) = 266946570

Least Common Multiple (LCM) of 16335 and 16342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16335 and 16342. First we will calculate the prime factors of 16335 and 16342.

Prime Factorization of 16335

Prime Factorization of 16342

Now multiplying the highest exponent prime factors to calculate the LCM of 16335 and 16342.

LCM(16335,16342) = 3³ × 5¹ × 11² × 2¹ × 8171¹
LCM(16335,16342) = 266946570