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What is the Least Common Multiple of 41387 and 41394?

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 41387 and 41394 is 1713173478.

LCM(41387,41394) = 1713173478

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Least Common Multiple of 41387 and 41394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41387 and 41394, than apply into the LCM equation.

GCF(41387,41394) = 1
LCM(41387,41394) = ( 41387 × 41394) / 1
LCM(41387,41394) = 1713173478 / 1
LCM(41387,41394) = 1713173478

Least Common Multiple (LCM) of 41387 and 41394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41387 and 41394. First we will calculate the prime factors of 41387 and 41394.

Prime Factorization of 41387

Prime factors of 41387 are 41387. Prime factorization of 41387 in exponential form is:

41387 = 413871

Prime Factorization of 41394

Prime factors of 41394 are 2, 3, 6899. Prime factorization of 41394 in exponential form is:

41394 = 21 × 31 × 68991

Now multiplying the highest exponent prime factors to calculate the LCM of 41387 and 41394.

LCM(41387,41394) = 413871 × 21 × 31 × 68991
LCM(41387,41394) = 1713173478