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What is the Least Common Multiple of 30321 and 30341?

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 30321 and 30341 is 919969461.

LCM(30321,30341) = 919969461

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Least Common Multiple of 30321 and 30341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30321 and 30341, than apply into the LCM equation.

GCF(30321,30341) = 1
LCM(30321,30341) = ( 30321 × 30341) / 1
LCM(30321,30341) = 919969461 / 1
LCM(30321,30341) = 919969461

Least Common Multiple (LCM) of 30321 and 30341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30321 and 30341. First we will calculate the prime factors of 30321 and 30341.

Prime Factorization of 30321

Prime factors of 30321 are 3, 1123. Prime factorization of 30321 in exponential form is:

30321 = 33 × 11231

Prime Factorization of 30341

Prime factors of 30341 are 30341. Prime factorization of 30341 in exponential form is:

30341 = 303411

Now multiplying the highest exponent prime factors to calculate the LCM of 30321 and 30341.

LCM(30321,30341) = 33 × 11231 × 303411
LCM(30321,30341) = 919969461