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What is the Least Common Multiple of 48322 and 48327?

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 48322 and 48327 is 2335257294.

LCM(48322,48327) = 2335257294

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Least Common Multiple of 48322 and 48327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48322 and 48327, than apply into the LCM equation.

GCF(48322,48327) = 1
LCM(48322,48327) = ( 48322 × 48327) / 1
LCM(48322,48327) = 2335257294 / 1
LCM(48322,48327) = 2335257294

Least Common Multiple (LCM) of 48322 and 48327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48322 and 48327. First we will calculate the prime factors of 48322 and 48327.

Prime Factorization of 48322

Prime factors of 48322 are 2, 37, 653. Prime factorization of 48322 in exponential form is:

48322 = 21 × 371 × 6531

Prime Factorization of 48327

Prime factors of 48327 are 3, 89, 181. Prime factorization of 48327 in exponential form is:

48327 = 31 × 891 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 48322 and 48327.

LCM(48322,48327) = 21 × 371 × 6531 × 31 × 891 × 1811
LCM(48322,48327) = 2335257294