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What is the Least Common Multiple of 30827 and 30837?

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 30827 and 30837 is 950612199.

LCM(30827,30837) = 950612199

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Least Common Multiple of 30827 and 30837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30827 and 30837, than apply into the LCM equation.

GCF(30827,30837) = 1
LCM(30827,30837) = ( 30827 × 30837) / 1
LCM(30827,30837) = 950612199 / 1
LCM(30827,30837) = 950612199

Least Common Multiple (LCM) of 30827 and 30837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30827 and 30837. First we will calculate the prime factors of 30827 and 30837.

Prime Factorization of 30827

Prime factors of 30827 are 29, 1063. Prime factorization of 30827 in exponential form is:

30827 = 291 × 10631

Prime Factorization of 30837

Prime factors of 30837 are 3, 19, 541. Prime factorization of 30837 in exponential form is:

30837 = 31 × 191 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 30827 and 30837.

LCM(30827,30837) = 291 × 10631 × 31 × 191 × 5411
LCM(30827,30837) = 950612199