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What is the Least Common Multiple of 29548 and 29568?

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 29548 and 29568 is 218418816.

LCM(29548,29568) = 218418816

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Least Common Multiple of 29548 and 29568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29548 and 29568, than apply into the LCM equation.

GCF(29548,29568) = 4
LCM(29548,29568) = ( 29548 × 29568) / 4
LCM(29548,29568) = 873675264 / 4
LCM(29548,29568) = 218418816

Least Common Multiple (LCM) of 29548 and 29568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29548 and 29568. First we will calculate the prime factors of 29548 and 29568.

Prime Factorization of 29548

Prime factors of 29548 are 2, 83, 89. Prime factorization of 29548 in exponential form is:

29548 = 22 × 831 × 891

Prime Factorization of 29568

Prime factors of 29568 are 2, 3, 7, 11. Prime factorization of 29568 in exponential form is:

29568 = 27 × 31 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 29548 and 29568.

LCM(29548,29568) = 27 × 831 × 891 × 31 × 71 × 111
LCM(29548,29568) = 218418816