What is the Least Common Multiple of 17928 and 17937?

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 17937 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 17937, than apply into the LCM equation.

GCF(17928,17937) = 9
LCM(17928,17937) = ( 17928 × 17937) / 9
LCM(17928,17937) = 321574536 / 9
LCM(17928,17937) = 35730504

Least Common Multiple (LCM) of 17928 and 17937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17928 and 17937. First we will calculate the prime factors of 17928 and 17937.

Prime Factorization of 17928

Prime Factorization of 17937

Now multiplying the highest exponent prime factors to calculate the LCM of 17928 and 17937.

LCM(17928,17937) = 2³ × 3³ × 83¹ × 1993¹
LCM(17928,17937) = 35730504