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What is the Least Common Multiple of 29848 and 29864?

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 29848 and 29864 is 111422584.

LCM(29848,29864) = 111422584

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Least Common Multiple of 29848 and 29864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29848 and 29864, than apply into the LCM equation.

GCF(29848,29864) = 8
LCM(29848,29864) = ( 29848 × 29864) / 8
LCM(29848,29864) = 891380672 / 8
LCM(29848,29864) = 111422584

Least Common Multiple (LCM) of 29848 and 29864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29848 and 29864. First we will calculate the prime factors of 29848 and 29864.

Prime Factorization of 29848

Prime factors of 29848 are 2, 7, 13, 41. Prime factorization of 29848 in exponential form is:

29848 = 23 × 71 × 131 × 411

Prime Factorization of 29864

Prime factors of 29864 are 2, 3733. Prime factorization of 29864 in exponential form is:

29864 = 23 × 37331

Now multiplying the highest exponent prime factors to calculate the LCM of 29848 and 29864.

LCM(29848,29864) = 23 × 71 × 131 × 411 × 37331
LCM(29848,29864) = 111422584