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What is the Least Common Multiple of 30347 and 30354?

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 30347 and 30354 is 921152838.

LCM(30347,30354) = 921152838

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Least Common Multiple of 30347 and 30354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30347 and 30354, than apply into the LCM equation.

GCF(30347,30354) = 1
LCM(30347,30354) = ( 30347 × 30354) / 1
LCM(30347,30354) = 921152838 / 1
LCM(30347,30354) = 921152838

Least Common Multiple (LCM) of 30347 and 30354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30347 and 30354. First we will calculate the prime factors of 30347 and 30354.

Prime Factorization of 30347

Prime factors of 30347 are 30347. Prime factorization of 30347 in exponential form is:

30347 = 303471

Prime Factorization of 30354

Prime factors of 30354 are 2, 3, 5059. Prime factorization of 30354 in exponential form is:

30354 = 21 × 31 × 50591

Now multiplying the highest exponent prime factors to calculate the LCM of 30347 and 30354.

LCM(30347,30354) = 303471 × 21 × 31 × 50591
LCM(30347,30354) = 921152838