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What is the Least Common Multiple of 29458 and 29472?

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 29458 and 29472 is 434093088.

LCM(29458,29472) = 434093088

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Least Common Multiple of 29458 and 29472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29458 and 29472, than apply into the LCM equation.

GCF(29458,29472) = 2
LCM(29458,29472) = ( 29458 × 29472) / 2
LCM(29458,29472) = 868186176 / 2
LCM(29458,29472) = 434093088

Least Common Multiple (LCM) of 29458 and 29472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29458 and 29472. First we will calculate the prime factors of 29458 and 29472.

Prime Factorization of 29458

Prime factors of 29458 are 2, 11, 13, 103. Prime factorization of 29458 in exponential form is:

29458 = 21 × 111 × 131 × 1031

Prime Factorization of 29472

Prime factors of 29472 are 2, 3, 307. Prime factorization of 29472 in exponential form is:

29472 = 25 × 31 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 29458 and 29472.

LCM(29458,29472) = 25 × 111 × 131 × 1031 × 31 × 3071
LCM(29458,29472) = 434093088