GCF and LCM Calculator Logo

What is the Least Common Multiple of 31212 and 31223?

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 31212 and 31223 is 974532276.

LCM(31212,31223) = 974532276

LCM Calculator and
and

Least Common Multiple of 31212 and 31223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31212 and 31223, than apply into the LCM equation.

GCF(31212,31223) = 1
LCM(31212,31223) = ( 31212 × 31223) / 1
LCM(31212,31223) = 974532276 / 1
LCM(31212,31223) = 974532276

Least Common Multiple (LCM) of 31212 and 31223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31212 and 31223. First we will calculate the prime factors of 31212 and 31223.

Prime Factorization of 31212

Prime factors of 31212 are 2, 3, 17. Prime factorization of 31212 in exponential form is:

31212 = 22 × 33 × 172

Prime Factorization of 31223

Prime factors of 31223 are 31223. Prime factorization of 31223 in exponential form is:

31223 = 312231

Now multiplying the highest exponent prime factors to calculate the LCM of 31212 and 31223.

LCM(31212,31223) = 22 × 33 × 172 × 312231
LCM(31212,31223) = 974532276