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What is the Least Common Multiple of 41879 and 41897?

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 41879 and 41897 is 1754604463.

LCM(41879,41897) = 1754604463

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Least Common Multiple of 41879 and 41897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41879 and 41897, than apply into the LCM equation.

GCF(41879,41897) = 1
LCM(41879,41897) = ( 41879 × 41897) / 1
LCM(41879,41897) = 1754604463 / 1
LCM(41879,41897) = 1754604463

Least Common Multiple (LCM) of 41879 and 41897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41879 and 41897. First we will calculate the prime factors of 41879 and 41897.

Prime Factorization of 41879

Prime factors of 41879 are 41879. Prime factorization of 41879 in exponential form is:

41879 = 418791

Prime Factorization of 41897

Prime factors of 41897 are 41897. Prime factorization of 41897 in exponential form is:

41897 = 418971

Now multiplying the highest exponent prime factors to calculate the LCM of 41879 and 41897.

LCM(41879,41897) = 418791 × 418971
LCM(41879,41897) = 1754604463