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What is the Least Common Multiple of 29486 and 29500?

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 29486 and 29500 is 434918500.

LCM(29486,29500) = 434918500

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Least Common Multiple of 29486 and 29500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29486 and 29500, than apply into the LCM equation.

GCF(29486,29500) = 2
LCM(29486,29500) = ( 29486 × 29500) / 2
LCM(29486,29500) = 869837000 / 2
LCM(29486,29500) = 434918500

Least Common Multiple (LCM) of 29486 and 29500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29486 and 29500. First we will calculate the prime factors of 29486 and 29500.

Prime Factorization of 29486

Prime factors of 29486 are 2, 23, 641. Prime factorization of 29486 in exponential form is:

29486 = 21 × 231 × 6411

Prime Factorization of 29500

Prime factors of 29500 are 2, 5, 59. Prime factorization of 29500 in exponential form is:

29500 = 22 × 53 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 29486 and 29500.

LCM(29486,29500) = 22 × 231 × 6411 × 53 × 591
LCM(29486,29500) = 434918500