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What is the Least Common Multiple of 30387 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 30387 and 30394 is 131940354.

LCM(30387,30394) = 131940354

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Least Common Multiple of 30387 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 30387 and 30394, than apply into the LCM equation.

GCF(30387,30394) = 7
LCM(30387,30394) = ( 30387 × 30394) / 7
LCM(30387,30394) = 923582478 / 7
LCM(30387,30394) = 131940354

Least Common Multiple (LCM) of 30387 and 30394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30387 and 30394. First we will calculate the prime factors of 30387 and 30394.

Prime Factorization of 30387

Prime factors of 30387 are 3, 7, 1447. Prime factorization of 30387 in exponential form is:

30387 = 31 × 71 × 14471

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 30387 and 30394.

LCM(30387,30394) = 31 × 71 × 14471 × 21 × 131 × 1671
LCM(30387,30394) = 131940354