GCF and LCM Calculator Logo

What is the Least Common Multiple of 31231 and 31235?

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 31231 and 31235 is 975500285.

LCM(31231,31235) = 975500285

LCM Calculator and
and

Least Common Multiple of 31231 and 31235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31231 and 31235, than apply into the LCM equation.

GCF(31231,31235) = 1
LCM(31231,31235) = ( 31231 × 31235) / 1
LCM(31231,31235) = 975500285 / 1
LCM(31231,31235) = 975500285

Least Common Multiple (LCM) of 31231 and 31235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31231 and 31235. First we will calculate the prime factors of 31231 and 31235.

Prime Factorization of 31231

Prime factors of 31231 are 31231. Prime factorization of 31231 in exponential form is:

31231 = 312311

Prime Factorization of 31235

Prime factors of 31235 are 5, 6247. Prime factorization of 31235 in exponential form is:

31235 = 51 × 62471

Now multiplying the highest exponent prime factors to calculate the LCM of 31231 and 31235.

LCM(31231,31235) = 312311 × 51 × 62471
LCM(31231,31235) = 975500285