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What is the Least Common Multiple of 74417 and 74433?

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 74417 and 74433 is 5539080561.

LCM(74417,74433) = 5539080561

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Least Common Multiple of 74417 and 74433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74417 and 74433, than apply into the LCM equation.

GCF(74417,74433) = 1
LCM(74417,74433) = ( 74417 × 74433) / 1
LCM(74417,74433) = 5539080561 / 1
LCM(74417,74433) = 5539080561

Least Common Multiple (LCM) of 74417 and 74433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74417 and 74433. First we will calculate the prime factors of 74417 and 74433.

Prime Factorization of 74417

Prime factors of 74417 are 7, 10631. Prime factorization of 74417 in exponential form is:

74417 = 71 × 106311

Prime Factorization of 74433

Prime factors of 74433 are 3, 43, 577. Prime factorization of 74433 in exponential form is:

74433 = 31 × 431 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 74417 and 74433.

LCM(74417,74433) = 71 × 106311 × 31 × 431 × 5771
LCM(74417,74433) = 5539080561