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What is the Least Common Multiple of 41887 and 41893?

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 41887 and 41893 is 1754772091.

LCM(41887,41893) = 1754772091

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Least Common Multiple of 41887 and 41893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41887 and 41893, than apply into the LCM equation.

GCF(41887,41893) = 1
LCM(41887,41893) = ( 41887 × 41893) / 1
LCM(41887,41893) = 1754772091 / 1
LCM(41887,41893) = 1754772091

Least Common Multiple (LCM) of 41887 and 41893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41887 and 41893. First we will calculate the prime factors of 41887 and 41893.

Prime Factorization of 41887

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

41887 = 418871

Prime Factorization of 41893

Prime factors of 41893 are 41893. Prime factorization of 41893 in exponential form is:

41893 = 418931

Now multiplying the highest exponent prime factors to calculate the LCM of 41887 and 41893.

LCM(41887,41893) = 418871 × 418931
LCM(41887,41893) = 1754772091