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What is the Least Common Multiple of 5918 and 5935?

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 5918 and 5935 is 35123330.

LCM(5918,5935) = 35123330

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Least Common Multiple of 5918 and 5935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5918 and 5935, than apply into the LCM equation.

GCF(5918,5935) = 1
LCM(5918,5935) = ( 5918 × 5935) / 1
LCM(5918,5935) = 35123330 / 1
LCM(5918,5935) = 35123330

Least Common Multiple (LCM) of 5918 and 5935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5918 and 5935. First we will calculate the prime factors of 5918 and 5935.

Prime Factorization of 5918

Prime factors of 5918 are 2, 11, 269. Prime factorization of 5918 in exponential form is:

5918 = 21 × 111 × 2691

Prime Factorization of 5935

Prime factors of 5935 are 5, 1187. Prime factorization of 5935 in exponential form is:

5935 = 51 × 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 5918 and 5935.

LCM(5918,5935) = 21 × 111 × 2691 × 51 × 11871
LCM(5918,5935) = 35123330