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What is the Least Common Multiple of 29532 and 29544?

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 29532 and 29544 is 72707784.

LCM(29532,29544) = 72707784

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Least Common Multiple of 29532 and 29544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29532 and 29544, than apply into the LCM equation.

GCF(29532,29544) = 12
LCM(29532,29544) = ( 29532 × 29544) / 12
LCM(29532,29544) = 872493408 / 12
LCM(29532,29544) = 72707784

Least Common Multiple (LCM) of 29532 and 29544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29532 and 29544. First we will calculate the prime factors of 29532 and 29544.

Prime Factorization of 29532

Prime factors of 29532 are 2, 3, 23, 107. Prime factorization of 29532 in exponential form is:

29532 = 22 × 31 × 231 × 1071

Prime Factorization of 29544

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

29544 = 23 × 31 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 29532 and 29544.

LCM(29532,29544) = 23 × 31 × 231 × 1071 × 12311
LCM(29532,29544) = 72707784