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What is the Least Common Multiple of 29127 and 29147?

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 29127 and 29147 is 848964669.

LCM(29127,29147) = 848964669

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Least Common Multiple of 29127 and 29147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29127 and 29147, than apply into the LCM equation.

GCF(29127,29147) = 1
LCM(29127,29147) = ( 29127 × 29147) / 1
LCM(29127,29147) = 848964669 / 1
LCM(29127,29147) = 848964669

Least Common Multiple (LCM) of 29127 and 29147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29127 and 29147. First we will calculate the prime factors of 29127 and 29147.

Prime Factorization of 29127

Prime factors of 29127 are 3, 7, 19, 73. Prime factorization of 29127 in exponential form is:

29127 = 31 × 71 × 191 × 731

Prime Factorization of 29147

Prime factors of 29147 are 29147. Prime factorization of 29147 in exponential form is:

29147 = 291471

Now multiplying the highest exponent prime factors to calculate the LCM of 29127 and 29147.

LCM(29127,29147) = 31 × 71 × 191 × 731 × 291471
LCM(29127,29147) = 848964669