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What is the Least Common Multiple of 41779 and 41798?

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 41779 and 41798 is 1746278642.

LCM(41779,41798) = 1746278642

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Least Common Multiple of 41779 and 41798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41779 and 41798, than apply into the LCM equation.

GCF(41779,41798) = 1
LCM(41779,41798) = ( 41779 × 41798) / 1
LCM(41779,41798) = 1746278642 / 1
LCM(41779,41798) = 1746278642

Least Common Multiple (LCM) of 41779 and 41798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41779 and 41798. First we will calculate the prime factors of 41779 and 41798.

Prime Factorization of 41779

Prime factors of 41779 are 41, 1019. Prime factorization of 41779 in exponential form is:

41779 = 411 × 10191

Prime Factorization of 41798

Prime factors of 41798 are 2, 20899. Prime factorization of 41798 in exponential form is:

41798 = 21 × 208991

Now multiplying the highest exponent prime factors to calculate the LCM of 41779 and 41798.

LCM(41779,41798) = 411 × 10191 × 21 × 208991
LCM(41779,41798) = 1746278642