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What is the Least Common Multiple of 30935 and 30939?

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 30935 and 30939 is 957097965.

LCM(30935,30939) = 957097965

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Least Common Multiple of 30935 and 30939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30935 and 30939, than apply into the LCM equation.

GCF(30935,30939) = 1
LCM(30935,30939) = ( 30935 × 30939) / 1
LCM(30935,30939) = 957097965 / 1
LCM(30935,30939) = 957097965

Least Common Multiple (LCM) of 30935 and 30939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30935 and 30939. First we will calculate the prime factors of 30935 and 30939.

Prime Factorization of 30935

Prime factors of 30935 are 5, 23, 269. Prime factorization of 30935 in exponential form is:

30935 = 51 × 231 × 2691

Prime Factorization of 30939

Prime factors of 30939 are 3, 10313. Prime factorization of 30939 in exponential form is:

30939 = 31 × 103131

Now multiplying the highest exponent prime factors to calculate the LCM of 30935 and 30939.

LCM(30935,30939) = 51 × 231 × 2691 × 31 × 103131
LCM(30935,30939) = 957097965