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What is the Least Common Multiple of 29087 and 29103?

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 29103 is 846518961.

LCM(29087,29103) = 846518961

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Least Common Multiple of 29087 and 29103 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 29103, than apply into the LCM equation.

GCF(29087,29103) = 1
LCM(29087,29103) = ( 29087 × 29103) / 1
LCM(29087,29103) = 846518961 / 1
LCM(29087,29103) = 846518961

Least Common Multiple (LCM) of 29087 and 29103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29087 and 29103. First we will calculate the prime factors of 29087 and 29103.

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 29103

Prime factors of 29103 are 3, 89, 109. Prime factorization of 29103 in exponential form is:

29103 = 31 × 891 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 29087 and 29103.

LCM(29087,29103) = 171 × 291 × 591 × 31 × 891 × 1091
LCM(29087,29103) = 846518961