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What is the Least Common Multiple of 30321 and 30340?

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 30340 is 919939140.

LCM(30321,30340) = 919939140

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Least Common Multiple of 30321 and 30340 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 30340, than apply into the LCM equation.

GCF(30321,30340) = 1
LCM(30321,30340) = ( 30321 × 30340) / 1
LCM(30321,30340) = 919939140 / 1
LCM(30321,30340) = 919939140

Least Common Multiple (LCM) of 30321 and 30340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30321 and 30340. First we will calculate the prime factors of 30321 and 30340.

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 30340

Prime factors of 30340 are 2, 5, 37, 41. Prime factorization of 30340 in exponential form is:

30340 = 22 × 51 × 371 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 30321 and 30340.

LCM(30321,30340) = 33 × 11231 × 22 × 51 × 371 × 411
LCM(30321,30340) = 919939140