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What is the Least Common Multiple of 29729 and 29741?

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 29729 and 29741 is 884170189.

LCM(29729,29741) = 884170189

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Least Common Multiple of 29729 and 29741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29729 and 29741, than apply into the LCM equation.

GCF(29729,29741) = 1
LCM(29729,29741) = ( 29729 × 29741) / 1
LCM(29729,29741) = 884170189 / 1
LCM(29729,29741) = 884170189

Least Common Multiple (LCM) of 29729 and 29741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29729 and 29741. First we will calculate the prime factors of 29729 and 29741.

Prime Factorization of 29729

Prime factors of 29729 are 7, 31, 137. Prime factorization of 29729 in exponential form is:

29729 = 71 × 311 × 1371

Prime Factorization of 29741

Prime factors of 29741 are 29741. Prime factorization of 29741 in exponential form is:

29741 = 297411

Now multiplying the highest exponent prime factors to calculate the LCM of 29729 and 29741.

LCM(29729,29741) = 71 × 311 × 1371 × 297411
LCM(29729,29741) = 884170189