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What is the Least Common Multiple of 29367 and 29377?

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 29367 and 29377 is 862714359.

LCM(29367,29377) = 862714359

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Least Common Multiple of 29367 and 29377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29367 and 29377, than apply into the LCM equation.

GCF(29367,29377) = 1
LCM(29367,29377) = ( 29367 × 29377) / 1
LCM(29367,29377) = 862714359 / 1
LCM(29367,29377) = 862714359

Least Common Multiple (LCM) of 29367 and 29377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29367 and 29377. First we will calculate the prime factors of 29367 and 29377.

Prime Factorization of 29367

Prime factors of 29367 are 3, 13, 251. Prime factorization of 29367 in exponential form is:

29367 = 32 × 131 × 2511

Prime Factorization of 29377

Prime factors of 29377 are 29, 1013. Prime factorization of 29377 in exponential form is:

29377 = 291 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 29367 and 29377.

LCM(29367,29377) = 32 × 131 × 2511 × 291 × 10131
LCM(29367,29377) = 862714359