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What is the Least Common Multiple of 30875 and 30883?

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 30875 and 30883 is 953512625.

LCM(30875,30883) = 953512625

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Least Common Multiple of 30875 and 30883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30875 and 30883, than apply into the LCM equation.

GCF(30875,30883) = 1
LCM(30875,30883) = ( 30875 × 30883) / 1
LCM(30875,30883) = 953512625 / 1
LCM(30875,30883) = 953512625

Least Common Multiple (LCM) of 30875 and 30883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30875 and 30883. First we will calculate the prime factors of 30875 and 30883.

Prime Factorization of 30875

Prime factors of 30875 are 5, 13, 19. Prime factorization of 30875 in exponential form is:

30875 = 53 × 131 × 191

Prime Factorization of 30883

Prime factors of 30883 are 89, 347. Prime factorization of 30883 in exponential form is:

30883 = 891 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 30875 and 30883.

LCM(30875,30883) = 53 × 131 × 191 × 891 × 3471
LCM(30875,30883) = 953512625