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What is the Least Common Multiple of 41298 and 41311?

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 41298 and 41311 is 1706061678.

LCM(41298,41311) = 1706061678

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Least Common Multiple of 41298 and 41311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41298 and 41311, than apply into the LCM equation.

GCF(41298,41311) = 1
LCM(41298,41311) = ( 41298 × 41311) / 1
LCM(41298,41311) = 1706061678 / 1
LCM(41298,41311) = 1706061678

Least Common Multiple (LCM) of 41298 and 41311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41298 and 41311. First we will calculate the prime factors of 41298 and 41311.

Prime Factorization of 41298

Prime factors of 41298 are 2, 3, 6883. Prime factorization of 41298 in exponential form is:

41298 = 21 × 31 × 68831

Prime Factorization of 41311

Prime factors of 41311 are 109, 379. Prime factorization of 41311 in exponential form is:

41311 = 1091 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 41298 and 41311.

LCM(41298,41311) = 21 × 31 × 68831 × 1091 × 3791
LCM(41298,41311) = 1706061678