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What is the Least Common Multiple of 30301 and 30312?

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 30312 is 918483912.

LCM(30301,30312) = 918483912

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Least Common Multiple of 30301 and 30312 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 30312, than apply into the LCM equation.

GCF(30301,30312) = 1
LCM(30301,30312) = ( 30301 × 30312) / 1
LCM(30301,30312) = 918483912 / 1
LCM(30301,30312) = 918483912

Least Common Multiple (LCM) of 30301 and 30312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30301 and 30312. First we will calculate the prime factors of 30301 and 30312.

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 30312

Prime factors of 30312 are 2, 3, 421. Prime factorization of 30312 in exponential form is:

30312 = 23 × 32 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 30301 and 30312.

LCM(30301,30312) = 1571 × 1931 × 23 × 32 × 4211
LCM(30301,30312) = 918483912