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What is the Least Common Multiple of 30301 and 30314?

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 30301 and 30314 is 918544514.

LCM(30301,30314) = 918544514

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Least Common Multiple of 30301 and 30314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30301 and 30314, than apply into the LCM equation.

GCF(30301,30314) = 1
LCM(30301,30314) = ( 30301 × 30314) / 1
LCM(30301,30314) = 918544514 / 1
LCM(30301,30314) = 918544514

Least Common Multiple (LCM) of 30301 and 30314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30301 and 30314. First we will calculate the prime factors of 30301 and 30314.

Prime Factorization of 30301

Prime factors of 30301 are 157, 193. Prime factorization of 30301 in exponential form is:

30301 = 1571 × 1931

Prime Factorization of 30314

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

30314 = 21 × 231 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 30301 and 30314.

LCM(30301,30314) = 1571 × 1931 × 21 × 231 × 6591
LCM(30301,30314) = 918544514