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What is the Least Common Multiple of 29888 and 29896?

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 29888 and 29896 is 111691456.

LCM(29888,29896) = 111691456

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Least Common Multiple of 29888 and 29896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29888 and 29896, than apply into the LCM equation.

GCF(29888,29896) = 8
LCM(29888,29896) = ( 29888 × 29896) / 8
LCM(29888,29896) = 893531648 / 8
LCM(29888,29896) = 111691456

Least Common Multiple (LCM) of 29888 and 29896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29888 and 29896. First we will calculate the prime factors of 29888 and 29896.

Prime Factorization of 29888

Prime factors of 29888 are 2, 467. Prime factorization of 29888 in exponential form is:

29888 = 26 × 4671

Prime Factorization of 29896

Prime factors of 29896 are 2, 37, 101. Prime factorization of 29896 in exponential form is:

29896 = 23 × 371 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 29888 and 29896.

LCM(29888,29896) = 26 × 4671 × 371 × 1011
LCM(29888,29896) = 111691456