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What is the Least Common Multiple of 29729 and 29743?

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 29743 is 126318521.

LCM(29729,29743) = 126318521

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Least Common Multiple of 29729 and 29743 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 29743, than apply into the LCM equation.

GCF(29729,29743) = 7
LCM(29729,29743) = ( 29729 × 29743) / 7
LCM(29729,29743) = 884229647 / 7
LCM(29729,29743) = 126318521

Least Common Multiple (LCM) of 29729 and 29743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29729 and 29743. First we will calculate the prime factors of 29729 and 29743.

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 29743

Prime factors of 29743 are 7, 607. Prime factorization of 29743 in exponential form is:

29743 = 72 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 29729 and 29743.

LCM(29729,29743) = 72 × 311 × 1371 × 6071
LCM(29729,29743) = 126318521