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What is the Least Common Multiple of 30719 and 30731?

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 30731 is 944025589.

LCM(30719,30731) = 944025589

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Least Common Multiple of 30719 and 30731 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 30731, than apply into the LCM equation.

GCF(30719,30731) = 1
LCM(30719,30731) = ( 30719 × 30731) / 1
LCM(30719,30731) = 944025589 / 1
LCM(30719,30731) = 944025589

Least Common Multiple (LCM) of 30719 and 30731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30719 and 30731. First we will calculate the prime factors of 30719 and 30731.

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 30731

Prime factors of 30731 are 79, 389. Prime factorization of 30731 in exponential form is:

30731 = 791 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 30719 and 30731.

LCM(30719,30731) = 131 × 171 × 1391 × 791 × 3891
LCM(30719,30731) = 944025589