What is the Least Common Multiple of 17364 and 17376?

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 17364 and 17376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17364 and 17376, than apply into the LCM equation.

GCF(17364,17376) = 12
LCM(17364,17376) = ( 17364 × 17376) / 12
LCM(17364,17376) = 301716864 / 12
LCM(17364,17376) = 25143072

Least Common Multiple (LCM) of 17364 and 17376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17364 and 17376. First we will calculate the prime factors of 17364 and 17376.

Prime Factorization of 17364

Prime Factorization of 17376

Now multiplying the highest exponent prime factors to calculate the LCM of 17364 and 17376.

LCM(17364,17376) = 2⁵ × 3¹ × 1447¹ × 181¹
LCM(17364,17376) = 25143072