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What is the Least Common Multiple of 41869 and 41887?

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 41869 and 41887 is 1753766803.

LCM(41869,41887) = 1753766803

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Least Common Multiple of 41869 and 41887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41869 and 41887, than apply into the LCM equation.

GCF(41869,41887) = 1
LCM(41869,41887) = ( 41869 × 41887) / 1
LCM(41869,41887) = 1753766803 / 1
LCM(41869,41887) = 1753766803

Least Common Multiple (LCM) of 41869 and 41887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41869 and 41887. First we will calculate the prime factors of 41869 and 41887.

Prime Factorization of 41869

Prime factors of 41869 are 149, 281. Prime factorization of 41869 in exponential form is:

41869 = 1491 × 2811

Prime Factorization of 41887

Prime factors of 41887 are 41887. Prime factorization of 41887 in exponential form is:

41887 = 418871

Now multiplying the highest exponent prime factors to calculate the LCM of 41869 and 41887.

LCM(41869,41887) = 1491 × 2811 × 418871
LCM(41869,41887) = 1753766803