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What is the Least Common Multiple of 41848 and 41861?

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 41848 and 41861 is 1751799128.

LCM(41848,41861) = 1751799128

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Least Common Multiple of 41848 and 41861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41848 and 41861, than apply into the LCM equation.

GCF(41848,41861) = 1
LCM(41848,41861) = ( 41848 × 41861) / 1
LCM(41848,41861) = 1751799128 / 1
LCM(41848,41861) = 1751799128

Least Common Multiple (LCM) of 41848 and 41861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41848 and 41861. First we will calculate the prime factors of 41848 and 41861.

Prime Factorization of 41848

Prime factors of 41848 are 2, 5231. Prime factorization of 41848 in exponential form is:

41848 = 23 × 52311

Prime Factorization of 41861

Prime factors of 41861 are 41, 1021. Prime factorization of 41861 in exponential form is:

41861 = 411 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 41848 and 41861.

LCM(41848,41861) = 23 × 52311 × 411 × 10211
LCM(41848,41861) = 1751799128