What is the Least Common Multiple of 16375 and 16392?

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 16375 and 16392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16375 and 16392, than apply into the LCM equation.

GCF(16375,16392) = 1
LCM(16375,16392) = ( 16375 × 16392) / 1
LCM(16375,16392) = 268419000 / 1
LCM(16375,16392) = 268419000

Least Common Multiple (LCM) of 16375 and 16392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16375 and 16392. First we will calculate the prime factors of 16375 and 16392.

Prime Factorization of 16375

Prime Factorization of 16392

Now multiplying the highest exponent prime factors to calculate the LCM of 16375 and 16392.

LCM(16375,16392) = 5³ × 131¹ × 2³ × 3¹ × 683¹
LCM(16375,16392) = 268419000