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What is the Least Common Multiple of 29413 and 29419?

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 29413 and 29419 is 865301047.

LCM(29413,29419) = 865301047

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Least Common Multiple of 29413 and 29419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29413 and 29419, than apply into the LCM equation.

GCF(29413,29419) = 1
LCM(29413,29419) = ( 29413 × 29419) / 1
LCM(29413,29419) = 865301047 / 1
LCM(29413,29419) = 865301047

Least Common Multiple (LCM) of 29413 and 29419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29413 and 29419. First we will calculate the prime factors of 29413 and 29419.

Prime Factorization of 29413

Prime factors of 29413 are 67, 439. Prime factorization of 29413 in exponential form is:

29413 = 671 × 4391

Prime Factorization of 29419

Prime factors of 29419 are 13, 31, 73. Prime factorization of 29419 in exponential form is:

29419 = 131 × 311 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 29413 and 29419.

LCM(29413,29419) = 671 × 4391 × 131 × 311 × 731
LCM(29413,29419) = 865301047