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What is the Least Common Multiple of 31221 and 31229?

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 31229 is 975000609.

LCM(31221,31229) = 975000609

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Least Common Multiple of 31221 and 31229 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 31229, than apply into the LCM equation.

GCF(31221,31229) = 1
LCM(31221,31229) = ( 31221 × 31229) / 1
LCM(31221,31229) = 975000609 / 1
LCM(31221,31229) = 975000609

Least Common Multiple (LCM) of 31221 and 31229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31221 and 31229. First we will calculate the prime factors of 31221 and 31229.

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 31229

Prime factors of 31229 are 11, 17, 167. Prime factorization of 31229 in exponential form is:

31229 = 111 × 171 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 31221 and 31229.

LCM(31221,31229) = 32 × 34691 × 111 × 171 × 1671
LCM(31221,31229) = 975000609