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What is the Least Common Multiple of 31221 and 31232?

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 31221 and 31232 is 975094272.

LCM(31221,31232) = 975094272

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Least Common Multiple of 31221 and 31232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31221 and 31232, than apply into the LCM equation.

GCF(31221,31232) = 1
LCM(31221,31232) = ( 31221 × 31232) / 1
LCM(31221,31232) = 975094272 / 1
LCM(31221,31232) = 975094272

Least Common Multiple (LCM) of 31221 and 31232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31221 and 31232. First we will calculate the prime factors of 31221 and 31232.

Prime Factorization of 31221

Prime factors of 31221 are 3, 3469. Prime factorization of 31221 in exponential form is:

31221 = 32 × 34691

Prime Factorization of 31232

Prime factors of 31232 are 2, 61. Prime factorization of 31232 in exponential form is:

31232 = 29 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 31221 and 31232.

LCM(31221,31232) = 32 × 34691 × 29 × 611
LCM(31221,31232) = 975094272