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What is the Least Common Multiple of 74667 and 74683?

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 74667 and 74683 is 5576355561.

LCM(74667,74683) = 5576355561

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Least Common Multiple of 74667 and 74683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74667 and 74683, than apply into the LCM equation.

GCF(74667,74683) = 1
LCM(74667,74683) = ( 74667 × 74683) / 1
LCM(74667,74683) = 5576355561 / 1
LCM(74667,74683) = 5576355561

Least Common Multiple (LCM) of 74667 and 74683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74667 and 74683. First we will calculate the prime factors of 74667 and 74683.

Prime Factorization of 74667

Prime factors of 74667 are 3, 24889. Prime factorization of 74667 in exponential form is:

74667 = 31 × 248891

Prime Factorization of 74683

Prime factors of 74683 are 7, 47, 227. Prime factorization of 74683 in exponential form is:

74683 = 71 × 471 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 74667 and 74683.

LCM(74667,74683) = 31 × 248891 × 71 × 471 × 2271
LCM(74667,74683) = 5576355561