GCF and LCM Calculator Logo

What is the Least Common Multiple of 17935 and 17949?

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 17935 and 17949 is 321915315.

LCM(17935,17949) = 321915315

LCM Calculator and
and

Least Common Multiple of 17935 and 17949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17935 and 17949, than apply into the LCM equation.

GCF(17935,17949) = 1
LCM(17935,17949) = ( 17935 × 17949) / 1
LCM(17935,17949) = 321915315 / 1
LCM(17935,17949) = 321915315

Least Common Multiple (LCM) of 17935 and 17949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17935 and 17949. First we will calculate the prime factors of 17935 and 17949.

Prime Factorization of 17935

Prime factors of 17935 are 5, 17, 211. Prime factorization of 17935 in exponential form is:

17935 = 51 × 171 × 2111

Prime Factorization of 17949

Prime factors of 17949 are 3, 31, 193. Prime factorization of 17949 in exponential form is:

17949 = 31 × 311 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 17935 and 17949.

LCM(17935,17949) = 51 × 171 × 2111 × 31 × 311 × 1931
LCM(17935,17949) = 321915315