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What is the Least Common Multiple of 30882 and 30891?

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 30882 and 30891 is 317991954.

LCM(30882,30891) = 317991954

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Least Common Multiple of 30882 and 30891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30882 and 30891, than apply into the LCM equation.

GCF(30882,30891) = 3
LCM(30882,30891) = ( 30882 × 30891) / 3
LCM(30882,30891) = 953975862 / 3
LCM(30882,30891) = 317991954

Least Common Multiple (LCM) of 30882 and 30891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30882 and 30891. First we will calculate the prime factors of 30882 and 30891.

Prime Factorization of 30882

Prime factors of 30882 are 2, 3, 5147. Prime factorization of 30882 in exponential form is:

30882 = 21 × 31 × 51471

Prime Factorization of 30891

Prime factors of 30891 are 3, 7, 1471. Prime factorization of 30891 in exponential form is:

30891 = 31 × 71 × 14711

Now multiplying the highest exponent prime factors to calculate the LCM of 30882 and 30891.

LCM(30882,30891) = 21 × 31 × 51471 × 71 × 14711
LCM(30882,30891) = 317991954