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What is the Least Common Multiple of 41071 and 41077?

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 41071 and 41077 is 1687073467.

LCM(41071,41077) = 1687073467

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Least Common Multiple of 41071 and 41077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41071 and 41077, than apply into the LCM equation.

GCF(41071,41077) = 1
LCM(41071,41077) = ( 41071 × 41077) / 1
LCM(41071,41077) = 1687073467 / 1
LCM(41071,41077) = 1687073467

Least Common Multiple (LCM) of 41071 and 41077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41071 and 41077. First we will calculate the prime factors of 41071 and 41077.

Prime Factorization of 41071

Prime factors of 41071 are 67, 613. Prime factorization of 41071 in exponential form is:

41071 = 671 × 6131

Prime Factorization of 41077

Prime factors of 41077 are 41077. Prime factorization of 41077 in exponential form is:

41077 = 410771

Now multiplying the highest exponent prime factors to calculate the LCM of 41071 and 41077.

LCM(41071,41077) = 671 × 6131 × 410771
LCM(41071,41077) = 1687073467