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What is the Least Common Multiple of 29729 and 29739?

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 29739 is 884110731.

LCM(29729,29739) = 884110731

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Least Common Multiple of 29729 and 29739 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 29739, than apply into the LCM equation.

GCF(29729,29739) = 1
LCM(29729,29739) = ( 29729 × 29739) / 1
LCM(29729,29739) = 884110731 / 1
LCM(29729,29739) = 884110731

Least Common Multiple (LCM) of 29729 and 29739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29729 and 29739. First we will calculate the prime factors of 29729 and 29739.

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 29739

Prime factors of 29739 are 3, 23, 431. Prime factorization of 29739 in exponential form is:

29739 = 31 × 231 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 29729 and 29739.

LCM(29729,29739) = 71 × 311 × 1371 × 31 × 231 × 4311
LCM(29729,29739) = 884110731