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What is the Least Common Multiple of 29941 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 29941 and 29952 is 896792832.

LCM(29941,29952) = 896792832

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Least Common Multiple of 29941 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 29941 and 29952, than apply into the LCM equation.

GCF(29941,29952) = 1
LCM(29941,29952) = ( 29941 × 29952) / 1
LCM(29941,29952) = 896792832 / 1
LCM(29941,29952) = 896792832

Least Common Multiple (LCM) of 29941 and 29952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29941 and 29952. First we will calculate the prime factors of 29941 and 29952.

Prime Factorization of 29941

Prime factors of 29941 are 79, 379. Prime factorization of 29941 in exponential form is:

29941 = 791 × 3791

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 29941 and 29952.

LCM(29941,29952) = 791 × 3791 × 28 × 32 × 131
LCM(29941,29952) = 896792832