What is the Least Common Multiple of 17960 and 17975?

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 17960 and 17975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17960 and 17975, than apply into the LCM equation.

GCF(17960,17975) = 5
LCM(17960,17975) = ( 17960 × 17975) / 5
LCM(17960,17975) = 322831000 / 5
LCM(17960,17975) = 64566200

Least Common Multiple (LCM) of 17960 and 17975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17960 and 17975. First we will calculate the prime factors of 17960 and 17975.

Prime Factorization of 17960

Prime Factorization of 17975

Now multiplying the highest exponent prime factors to calculate the LCM of 17960 and 17975.

LCM(17960,17975) = 2³ × 5² × 449¹ × 719¹
LCM(17960,17975) = 64566200