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What is the Least Common Multiple of 30373 and 30383?

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 30373 and 30383 is 922822859.

LCM(30373,30383) = 922822859

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Least Common Multiple of 30373 and 30383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30373 and 30383, than apply into the LCM equation.

GCF(30373,30383) = 1
LCM(30373,30383) = ( 30373 × 30383) / 1
LCM(30373,30383) = 922822859 / 1
LCM(30373,30383) = 922822859

Least Common Multiple (LCM) of 30373 and 30383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30373 and 30383. First we will calculate the prime factors of 30373 and 30383.

Prime Factorization of 30373

Prime factors of 30373 are 7, 4339. Prime factorization of 30373 in exponential form is:

30373 = 71 × 43391

Prime Factorization of 30383

Prime factors of 30383 are 23, 1321. Prime factorization of 30383 in exponential form is:

30383 = 231 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 30373 and 30383.

LCM(30373,30383) = 71 × 43391 × 231 × 13211
LCM(30373,30383) = 922822859