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What is the Least Common Multiple of 29943 and 29952?

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 29943 and 29952 is 99650304.

LCM(29943,29952) = 99650304

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Least Common Multiple of 29943 and 29952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29943 and 29952, than apply into the LCM equation.

GCF(29943,29952) = 9
LCM(29943,29952) = ( 29943 × 29952) / 9
LCM(29943,29952) = 896852736 / 9
LCM(29943,29952) = 99650304

Least Common Multiple (LCM) of 29943 and 29952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29943 and 29952. First we will calculate the prime factors of 29943 and 29952.

Prime Factorization of 29943

Prime factors of 29943 are 3, 1109. Prime factorization of 29943 in exponential form is:

29943 = 33 × 11091

Prime Factorization of 29952

Prime factors of 29952 are 2, 3, 13. Prime factorization of 29952 in exponential form is:

29952 = 28 × 32 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 29943 and 29952.

LCM(29943,29952) = 33 × 11091 × 28 × 131
LCM(29943,29952) = 99650304