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What is the Least Common Multiple of 30381 and 30394?

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 30381 and 30394 is 71030778.

LCM(30381,30394) = 71030778

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Least Common Multiple of 30381 and 30394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30381 and 30394, than apply into the LCM equation.

GCF(30381,30394) = 13
LCM(30381,30394) = ( 30381 × 30394) / 13
LCM(30381,30394) = 923400114 / 13
LCM(30381,30394) = 71030778

Least Common Multiple (LCM) of 30381 and 30394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30381 and 30394. First we will calculate the prime factors of 30381 and 30394.

Prime Factorization of 30381

Prime factors of 30381 are 3, 13, 19, 41. Prime factorization of 30381 in exponential form is:

30381 = 31 × 131 × 191 × 411

Prime Factorization of 30394

Prime factors of 30394 are 2, 7, 13, 167. Prime factorization of 30394 in exponential form is:

30394 = 21 × 71 × 131 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 30381 and 30394.

LCM(30381,30394) = 31 × 131 × 191 × 411 × 21 × 71 × 1671
LCM(30381,30394) = 71030778