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
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
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