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What is the Least Common Multiple of 41427 and 41447?

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 41427 and 41447 is 1717024869.

LCM(41427,41447) = 1717024869

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Least Common Multiple of 41427 and 41447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41427 and 41447, than apply into the LCM equation.

GCF(41427,41447) = 1
LCM(41427,41447) = ( 41427 × 41447) / 1
LCM(41427,41447) = 1717024869 / 1
LCM(41427,41447) = 1717024869

Least Common Multiple (LCM) of 41427 and 41447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41427 and 41447. First we will calculate the prime factors of 41427 and 41447.

Prime Factorization of 41427

Prime factors of 41427 are 3, 4603. Prime factorization of 41427 in exponential form is:

41427 = 32 × 46031

Prime Factorization of 41447

Prime factors of 41447 are 7, 31, 191. Prime factorization of 41447 in exponential form is:

41447 = 71 × 311 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 41427 and 41447.

LCM(41427,41447) = 32 × 46031 × 71 × 311 × 1911
LCM(41427,41447) = 1717024869