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What is the Least Common Multiple of 52227 and 52232?

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 52227 and 52232 is 2727920664.

LCM(52227,52232) = 2727920664

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Least Common Multiple of 52227 and 52232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52227 and 52232, than apply into the LCM equation.

GCF(52227,52232) = 1
LCM(52227,52232) = ( 52227 × 52232) / 1
LCM(52227,52232) = 2727920664 / 1
LCM(52227,52232) = 2727920664

Least Common Multiple (LCM) of 52227 and 52232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52227 and 52232. First we will calculate the prime factors of 52227 and 52232.

Prime Factorization of 52227

Prime factors of 52227 are 3, 7, 829. Prime factorization of 52227 in exponential form is:

52227 = 32 × 71 × 8291

Prime Factorization of 52232

Prime factors of 52232 are 2, 6529. Prime factorization of 52232 in exponential form is:

52232 = 23 × 65291

Now multiplying the highest exponent prime factors to calculate the LCM of 52227 and 52232.

LCM(52227,52232) = 32 × 71 × 8291 × 23 × 65291
LCM(52227,52232) = 2727920664