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What is the Least Common Multiple of 41717 and 41737?

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 41717 and 41737 is 1741142429.

LCM(41717,41737) = 1741142429

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Least Common Multiple of 41717 and 41737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41717 and 41737, than apply into the LCM equation.

GCF(41717,41737) = 1
LCM(41717,41737) = ( 41717 × 41737) / 1
LCM(41717,41737) = 1741142429 / 1
LCM(41717,41737) = 1741142429

Least Common Multiple (LCM) of 41717 and 41737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41717 and 41737. First we will calculate the prime factors of 41717 and 41737.

Prime Factorization of 41717

Prime factors of 41717 are 13, 3209. Prime factorization of 41717 in exponential form is:

41717 = 131 × 32091

Prime Factorization of 41737

Prime factors of 41737 are 41737. Prime factorization of 41737 in exponential form is:

41737 = 417371

Now multiplying the highest exponent prime factors to calculate the LCM of 41717 and 41737.

LCM(41717,41737) = 131 × 32091 × 417371
LCM(41717,41737) = 1741142429