What is the Least Common Multiple of 17928 and 17935?

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 17928 and 17935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17928 and 17935, than apply into the LCM equation.

GCF(17928,17935) = 1
LCM(17928,17935) = ( 17928 × 17935) / 1
LCM(17928,17935) = 321538680 / 1
LCM(17928,17935) = 321538680

Least Common Multiple (LCM) of 17928 and 17935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17928 and 17935. First we will calculate the prime factors of 17928 and 17935.

Prime Factorization of 17928

Prime Factorization of 17935

Now multiplying the highest exponent prime factors to calculate the LCM of 17928 and 17935.

LCM(17928,17935) = 2³ × 3³ × 83¹ × 5¹ × 17¹ × 211¹
LCM(17928,17935) = 321538680