What is the Least Common Multiple of 17920 and 17928?

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 17920 and 17928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17920 and 17928, than apply into the LCM equation.

GCF(17920,17928) = 8
LCM(17920,17928) = ( 17920 × 17928) / 8
LCM(17920,17928) = 321269760 / 8
LCM(17920,17928) = 40158720

Least Common Multiple (LCM) of 17920 and 17928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17920 and 17928. First we will calculate the prime factors of 17920 and 17928.

Prime Factorization of 17920

Prime Factorization of 17928

Now multiplying the highest exponent prime factors to calculate the LCM of 17920 and 17928.

LCM(17920,17928) = 2⁹ × 5¹ × 7¹ × 3³ × 83¹
LCM(17920,17928) = 40158720