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What is the Least Common Multiple of 30814 and 30831?

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 30814 and 30831 is 950026434.

LCM(30814,30831) = 950026434

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Least Common Multiple of 30814 and 30831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30814 and 30831, than apply into the LCM equation.

GCF(30814,30831) = 1
LCM(30814,30831) = ( 30814 × 30831) / 1
LCM(30814,30831) = 950026434 / 1
LCM(30814,30831) = 950026434

Least Common Multiple (LCM) of 30814 and 30831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30814 and 30831. First we will calculate the prime factors of 30814 and 30831.

Prime Factorization of 30814

Prime factors of 30814 are 2, 7, 31, 71. Prime factorization of 30814 in exponential form is:

30814 = 21 × 71 × 311 × 711

Prime Factorization of 30831

Prime factors of 30831 are 3, 43, 239. Prime factorization of 30831 in exponential form is:

30831 = 31 × 431 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 30814 and 30831.

LCM(30814,30831) = 21 × 71 × 311 × 711 × 31 × 431 × 2391
LCM(30814,30831) = 950026434