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What is the Least Common Multiple of 30719 and 30726?

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 30719 and 30726 is 943871994.

LCM(30719,30726) = 943871994

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Least Common Multiple of 30719 and 30726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30719 and 30726, than apply into the LCM equation.

GCF(30719,30726) = 1
LCM(30719,30726) = ( 30719 × 30726) / 1
LCM(30719,30726) = 943871994 / 1
LCM(30719,30726) = 943871994

Least Common Multiple (LCM) of 30719 and 30726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30719 and 30726. First we will calculate the prime factors of 30719 and 30726.

Prime Factorization of 30719

Prime factors of 30719 are 13, 17, 139. Prime factorization of 30719 in exponential form is:

30719 = 131 × 171 × 1391

Prime Factorization of 30726

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

30726 = 21 × 33 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 30719 and 30726.

LCM(30719,30726) = 131 × 171 × 1391 × 21 × 33 × 5691
LCM(30719,30726) = 943871994