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What is the Least Common Multiple of 30726 and 30738?

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 30726 and 30738 is 157409298.

LCM(30726,30738) = 157409298

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Least Common Multiple of 30726 and 30738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30726 and 30738, than apply into the LCM equation.

GCF(30726,30738) = 6
LCM(30726,30738) = ( 30726 × 30738) / 6
LCM(30726,30738) = 944455788 / 6
LCM(30726,30738) = 157409298

Least Common Multiple (LCM) of 30726 and 30738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30726 and 30738. First we will calculate the prime factors of 30726 and 30738.

Prime Factorization of 30726

Prime factors of 30726 are 2, 3, 569. Prime factorization of 30726 in exponential form is:

30726 = 21 × 33 × 5691

Prime Factorization of 30738

Prime factors of 30738 are 2, 3, 47, 109. Prime factorization of 30738 in exponential form is:

30738 = 21 × 31 × 471 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 30726 and 30738.

LCM(30726,30738) = 21 × 33 × 5691 × 471 × 1091
LCM(30726,30738) = 157409298