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What is the Least Common Multiple of 10222 and 10232?

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 10222 and 10232 is 52295752.

LCM(10222,10232) = 52295752

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Least Common Multiple of 10222 and 10232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10222 and 10232, than apply into the LCM equation.

GCF(10222,10232) = 2
LCM(10222,10232) = ( 10222 × 10232) / 2
LCM(10222,10232) = 104591504 / 2
LCM(10222,10232) = 52295752

Least Common Multiple (LCM) of 10222 and 10232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10222 and 10232. First we will calculate the prime factors of 10222 and 10232.

Prime Factorization of 10222

Prime factors of 10222 are 2, 19, 269. Prime factorization of 10222 in exponential form is:

10222 = 21 × 191 × 2691

Prime Factorization of 10232

Prime factors of 10232 are 2, 1279. Prime factorization of 10232 in exponential form is:

10232 = 23 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 10222 and 10232.

LCM(10222,10232) = 23 × 191 × 2691 × 12791
LCM(10222,10232) = 52295752