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What is the Least Common Multiple of 62918 and 62935?

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 62918 and 62935 is 3959744330.

LCM(62918,62935) = 3959744330

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Least Common Multiple of 62918 and 62935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62918 and 62935, than apply into the LCM equation.

GCF(62918,62935) = 1
LCM(62918,62935) = ( 62918 × 62935) / 1
LCM(62918,62935) = 3959744330 / 1
LCM(62918,62935) = 3959744330

Least Common Multiple (LCM) of 62918 and 62935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62918 and 62935. First we will calculate the prime factors of 62918 and 62935.

Prime Factorization of 62918

Prime factors of 62918 are 2, 163, 193. Prime factorization of 62918 in exponential form is:

62918 = 21 × 1631 × 1931

Prime Factorization of 62935

Prime factors of 62935 are 5, 41, 307. Prime factorization of 62935 in exponential form is:

62935 = 51 × 411 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 62918 and 62935.

LCM(62918,62935) = 21 × 1631 × 1931 × 51 × 411 × 3071
LCM(62918,62935) = 3959744330