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What is the Least Common Multiple of 22812 and 22831?

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 22812 and 22831 is 520820772.

LCM(22812,22831) = 520820772

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Least Common Multiple of 22812 and 22831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22812 and 22831, than apply into the LCM equation.

GCF(22812,22831) = 1
LCM(22812,22831) = ( 22812 × 22831) / 1
LCM(22812,22831) = 520820772 / 1
LCM(22812,22831) = 520820772

Least Common Multiple (LCM) of 22812 and 22831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22812 and 22831. First we will calculate the prime factors of 22812 and 22831.

Prime Factorization of 22812

Prime factors of 22812 are 2, 3, 1901. Prime factorization of 22812 in exponential form is:

22812 = 22 × 31 × 19011

Prime Factorization of 22831

Prime factors of 22831 are 17, 79. Prime factorization of 22831 in exponential form is:

22831 = 172 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 22812 and 22831.

LCM(22812,22831) = 22 × 31 × 19011 × 172 × 791
LCM(22812,22831) = 520820772