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What is the Least Common Multiple of 5222 and 5231?

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 5222 and 5231 is 27316282.

LCM(5222,5231) = 27316282

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Least Common Multiple of 5222 and 5231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5222 and 5231, than apply into the LCM equation.

GCF(5222,5231) = 1
LCM(5222,5231) = ( 5222 × 5231) / 1
LCM(5222,5231) = 27316282 / 1
LCM(5222,5231) = 27316282

Least Common Multiple (LCM) of 5222 and 5231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5222 and 5231. First we will calculate the prime factors of 5222 and 5231.

Prime Factorization of 5222

Prime factors of 5222 are 2, 7, 373. Prime factorization of 5222 in exponential form is:

5222 = 21 × 71 × 3731

Prime Factorization of 5231

Prime factors of 5231 are 5231. Prime factorization of 5231 in exponential form is:

5231 = 52311

Now multiplying the highest exponent prime factors to calculate the LCM of 5222 and 5231.

LCM(5222,5231) = 21 × 71 × 3731 × 52311
LCM(5222,5231) = 27316282