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What is the Least Common Multiple of 29544 and 29552?

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 29544 and 29552 is 109135536.

LCM(29544,29552) = 109135536

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Least Common Multiple of 29544 and 29552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29544 and 29552, than apply into the LCM equation.

GCF(29544,29552) = 8
LCM(29544,29552) = ( 29544 × 29552) / 8
LCM(29544,29552) = 873084288 / 8
LCM(29544,29552) = 109135536

Least Common Multiple (LCM) of 29544 and 29552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29544 and 29552. First we will calculate the prime factors of 29544 and 29552.

Prime Factorization of 29544

Prime factors of 29544 are 2, 3, 1231. Prime factorization of 29544 in exponential form is:

29544 = 23 × 31 × 12311

Prime Factorization of 29552

Prime factors of 29552 are 2, 1847. Prime factorization of 29552 in exponential form is:

29552 = 24 × 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 29544 and 29552.

LCM(29544,29552) = 24 × 31 × 12311 × 18471
LCM(29544,29552) = 109135536