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What is the Least Common Multiple of 30783 and 30791?

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 30783 and 30791 is 947839353.

LCM(30783,30791) = 947839353

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Least Common Multiple of 30783 and 30791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30783 and 30791, than apply into the LCM equation.

GCF(30783,30791) = 1
LCM(30783,30791) = ( 30783 × 30791) / 1
LCM(30783,30791) = 947839353 / 1
LCM(30783,30791) = 947839353

Least Common Multiple (LCM) of 30783 and 30791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30783 and 30791. First we will calculate the prime factors of 30783 and 30791.

Prime Factorization of 30783

Prime factors of 30783 are 3, 31, 331. Prime factorization of 30783 in exponential form is:

30783 = 31 × 311 × 3311

Prime Factorization of 30791

Prime factors of 30791 are 41, 751. Prime factorization of 30791 in exponential form is:

30791 = 411 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 30783 and 30791.

LCM(30783,30791) = 31 × 311 × 3311 × 411 × 7511
LCM(30783,30791) = 947839353