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What is the Least Common Multiple of 30354 and 30358?

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 30354 and 30358 is 460743366.

LCM(30354,30358) = 460743366

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Least Common Multiple of 30354 and 30358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30354 and 30358, than apply into the LCM equation.

GCF(30354,30358) = 2
LCM(30354,30358) = ( 30354 × 30358) / 2
LCM(30354,30358) = 921486732 / 2
LCM(30354,30358) = 460743366

Least Common Multiple (LCM) of 30354 and 30358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30354 and 30358. First we will calculate the prime factors of 30354 and 30358.

Prime Factorization of 30354

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

30354 = 21 × 31 × 50591

Prime Factorization of 30358

Prime factors of 30358 are 2, 43, 353. Prime factorization of 30358 in exponential form is:

30358 = 21 × 431 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 30354 and 30358.

LCM(30354,30358) = 21 × 31 × 50591 × 431 × 3531
LCM(30354,30358) = 460743366