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What is the Least Common Multiple of 30726 and 30733?

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 30733 is 944302158.

LCM(30726,30733) = 944302158

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Least Common Multiple of 30726 and 30733 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 30733, than apply into the LCM equation.

GCF(30726,30733) = 1
LCM(30726,30733) = ( 30726 × 30733) / 1
LCM(30726,30733) = 944302158 / 1
LCM(30726,30733) = 944302158

Least Common Multiple (LCM) of 30726 and 30733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30726 and 30733. First we will calculate the prime factors of 30726 and 30733.

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 30733

Prime factors of 30733 are 73, 421. Prime factorization of 30733 in exponential form is:

30733 = 731 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 30726 and 30733.

LCM(30726,30733) = 21 × 33 × 5691 × 731 × 4211
LCM(30726,30733) = 944302158