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What is the Least Common Multiple of 41387 and 41393?

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 41393 is 1713132091.

LCM(41387,41393) = 1713132091

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Least Common Multiple of 41387 and 41393 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 41393, than apply into the LCM equation.

GCF(41387,41393) = 1
LCM(41387,41393) = ( 41387 × 41393) / 1
LCM(41387,41393) = 1713132091 / 1
LCM(41387,41393) = 1713132091

Least Common Multiple (LCM) of 41387 and 41393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41387 and 41393. First we will calculate the prime factors of 41387 and 41393.

Prime Factorization of 41387

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

41387 = 413871

Prime Factorization of 41393

Prime factors of 41393 are 11, 53, 71. Prime factorization of 41393 in exponential form is:

41393 = 111 × 531 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 41387 and 41393.

LCM(41387,41393) = 413871 × 111 × 531 × 711
LCM(41387,41393) = 1713132091