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What is the Least Common Multiple of 41371 and 41387?

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 41371 and 41387 is 1712221577.

LCM(41371,41387) = 1712221577

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Least Common Multiple of 41371 and 41387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41371 and 41387, than apply into the LCM equation.

GCF(41371,41387) = 1
LCM(41371,41387) = ( 41371 × 41387) / 1
LCM(41371,41387) = 1712221577 / 1
LCM(41371,41387) = 1712221577

Least Common Multiple (LCM) of 41371 and 41387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41371 and 41387. First we will calculate the prime factors of 41371 and 41387.

Prime Factorization of 41371

Prime factors of 41371 are 11, 3761. Prime factorization of 41371 in exponential form is:

41371 = 111 × 37611

Prime Factorization of 41387

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

41387 = 413871

Now multiplying the highest exponent prime factors to calculate the LCM of 41371 and 41387.

LCM(41371,41387) = 111 × 37611 × 413871
LCM(41371,41387) = 1712221577