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What is the Least Common Multiple of 30314 and 30321?

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 30314 and 30321 is 919150794.

LCM(30314,30321) = 919150794

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Least Common Multiple of 30314 and 30321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30314 and 30321, than apply into the LCM equation.

GCF(30314,30321) = 1
LCM(30314,30321) = ( 30314 × 30321) / 1
LCM(30314,30321) = 919150794 / 1
LCM(30314,30321) = 919150794

Least Common Multiple (LCM) of 30314 and 30321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30314 and 30321. First we will calculate the prime factors of 30314 and 30321.

Prime Factorization of 30314

Prime factors of 30314 are 2, 23, 659. Prime factorization of 30314 in exponential form is:

30314 = 21 × 231 × 6591

Prime Factorization of 30321

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

30321 = 33 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 30314 and 30321.

LCM(30314,30321) = 21 × 231 × 6591 × 33 × 11231
LCM(30314,30321) = 919150794