GCF and LCM Calculator Logo

What is the Least Common Multiple of 31218 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 31218 and 31235 is 975094230.

LCM(31218,31235) = 975094230

LCM Calculator and
and

Least Common Multiple of 31218 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 31218 and 31235, than apply into the LCM equation.

GCF(31218,31235) = 1
LCM(31218,31235) = ( 31218 × 31235) / 1
LCM(31218,31235) = 975094230 / 1
LCM(31218,31235) = 975094230

Least Common Multiple (LCM) of 31218 and 31235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31218 and 31235. First we will calculate the prime factors of 31218 and 31235.

Prime Factorization of 31218

Prime factors of 31218 are 2, 3, 11, 43. Prime factorization of 31218 in exponential form is:

31218 = 21 × 31 × 112 × 431

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 31218 and 31235.

LCM(31218,31235) = 21 × 31 × 112 × 431 × 51 × 62471
LCM(31218,31235) = 975094230