GCF and LCM Calculator Logo

What is the Least Common Multiple of 31003 and 31017?

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 31003 and 31017 is 137374293.

LCM(31003,31017) = 137374293

LCM Calculator and
and

Least Common Multiple of 31003 and 31017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31003 and 31017, than apply into the LCM equation.

GCF(31003,31017) = 7
LCM(31003,31017) = ( 31003 × 31017) / 7
LCM(31003,31017) = 961620051 / 7
LCM(31003,31017) = 137374293

Least Common Multiple (LCM) of 31003 and 31017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31003 and 31017. First we will calculate the prime factors of 31003 and 31017.

Prime Factorization of 31003

Prime factors of 31003 are 7, 43, 103. Prime factorization of 31003 in exponential form is:

31003 = 71 × 431 × 1031

Prime Factorization of 31017

Prime factors of 31017 are 3, 7, 211. Prime factorization of 31017 in exponential form is:

31017 = 31 × 72 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 31003 and 31017.

LCM(31003,31017) = 72 × 431 × 1031 × 31 × 2111
LCM(31003,31017) = 137374293