GCF and LCM Calculator Logo

What is the Least Common Multiple of 17971 and 17984?

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 (LCM) of 17971 and 17984 is 323190464.

LCM(17971,17984) = 323190464

LCM Calculator and
and

Least Common Multiple of 17971 and 17984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17971 and 17984, than apply into the LCM equation.

GCF(17971,17984) = 1
LCM(17971,17984) = ( 17971 × 17984) / 1
LCM(17971,17984) = 323190464 / 1
LCM(17971,17984) = 323190464

Least Common Multiple (LCM) of 17971 and 17984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17971 and 17984. First we will calculate the prime factors of 17971 and 17984.

Prime Factorization of 17971

Prime factors of 17971 are 17971. Prime factorization of 17971 in exponential form is:

17971 = 179711

Prime Factorization of 17984

Prime factors of 17984 are 2, 281. Prime factorization of 17984 in exponential form is:

17984 = 26 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 17971 and 17984.

LCM(17971,17984) = 179711 × 26 × 2811
LCM(17971,17984) = 323190464