What is the Least Common Multiple of 16328 and 16341?

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 16328 and 16341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16328 and 16341, than apply into the LCM equation.

GCF(16328,16341) = 13
LCM(16328,16341) = ( 16328 × 16341) / 13
LCM(16328,16341) = 266815848 / 13
LCM(16328,16341) = 20524296

Least Common Multiple (LCM) of 16328 and 16341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16328 and 16341. First we will calculate the prime factors of 16328 and 16341.

Prime Factorization of 16328

Prime Factorization of 16341

Now multiplying the highest exponent prime factors to calculate the LCM of 16328 and 16341.

LCM(16328,16341) = 2³ × 13¹ × 157¹ × 3¹ × 419¹
LCM(16328,16341) = 20524296