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What is the Least Common Multiple of 29087 and 29097?

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 29087 and 29097 is 846344439.

LCM(29087,29097) = 846344439

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Least Common Multiple of 29087 and 29097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29087 and 29097, than apply into the LCM equation.

GCF(29087,29097) = 1
LCM(29087,29097) = ( 29087 × 29097) / 1
LCM(29087,29097) = 846344439 / 1
LCM(29087,29097) = 846344439

Least Common Multiple (LCM) of 29087 and 29097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29087 and 29097. First we will calculate the prime factors of 29087 and 29097.

Prime Factorization of 29087

Prime factors of 29087 are 17, 29, 59. Prime factorization of 29087 in exponential form is:

29087 = 171 × 291 × 591

Prime Factorization of 29097

Prime factors of 29097 are 3, 53, 61. Prime factorization of 29097 in exponential form is:

29097 = 32 × 531 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 29087 and 29097.

LCM(29087,29097) = 171 × 291 × 591 × 32 × 531 × 611
LCM(29087,29097) = 846344439