GCF and LCM Calculator Logo

What is the Least Common Multiple of 31220 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 31220 and 31235 is 195031340.

LCM(31220,31235) = 195031340

LCM Calculator and
and

Least Common Multiple of 31220 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 31220 and 31235, than apply into the LCM equation.

GCF(31220,31235) = 5
LCM(31220,31235) = ( 31220 × 31235) / 5
LCM(31220,31235) = 975156700 / 5
LCM(31220,31235) = 195031340

Least Common Multiple (LCM) of 31220 and 31235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31220 and 31235. First we will calculate the prime factors of 31220 and 31235.

Prime Factorization of 31220

Prime factors of 31220 are 2, 5, 7, 223. Prime factorization of 31220 in exponential form is:

31220 = 22 × 51 × 71 × 2231

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 31220 and 31235.

LCM(31220,31235) = 22 × 51 × 71 × 2231 × 62471
LCM(31220,31235) = 195031340