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What is the Least Common Multiple of 41387 and 41403?

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 41403 is 1713545961.

LCM(41387,41403) = 1713545961

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Least Common Multiple of 41387 and 41403 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 41403, than apply into the LCM equation.

GCF(41387,41403) = 1
LCM(41387,41403) = ( 41387 × 41403) / 1
LCM(41387,41403) = 1713545961 / 1
LCM(41387,41403) = 1713545961

Least Common Multiple (LCM) of 41387 and 41403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41387 and 41403. First we will calculate the prime factors of 41387 and 41403.

Prime Factorization of 41387

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

41387 = 413871

Prime Factorization of 41403

Prime factors of 41403 are 3, 37, 373. Prime factorization of 41403 in exponential form is:

41403 = 31 × 371 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 41387 and 41403.

LCM(41387,41403) = 413871 × 31 × 371 × 3731
LCM(41387,41403) = 1713545961