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What is the Least Common Multiple of 74311 and 74327?

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 74311 and 74327 is 5523313697.

LCM(74311,74327) = 5523313697

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Least Common Multiple of 74311 and 74327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74311 and 74327, than apply into the LCM equation.

GCF(74311,74327) = 1
LCM(74311,74327) = ( 74311 × 74327) / 1
LCM(74311,74327) = 5523313697 / 1
LCM(74311,74327) = 5523313697

Least Common Multiple (LCM) of 74311 and 74327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74311 and 74327. First we will calculate the prime factors of 74311 and 74327.

Prime Factorization of 74311

Prime factors of 74311 are 74311. Prime factorization of 74311 in exponential form is:

74311 = 743111

Prime Factorization of 74327

Prime factors of 74327 are 11, 29, 233. Prime factorization of 74327 in exponential form is:

74327 = 111 × 291 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 74311 and 74327.

LCM(74311,74327) = 743111 × 111 × 291 × 2331
LCM(74311,74327) = 5523313697