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What is the Least Common Multiple of 40717 and 40737?

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 40717 and 40737 is 1658688429.

LCM(40717,40737) = 1658688429

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Least Common Multiple of 40717 and 40737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40717 and 40737, than apply into the LCM equation.

GCF(40717,40737) = 1
LCM(40717,40737) = ( 40717 × 40737) / 1
LCM(40717,40737) = 1658688429 / 1
LCM(40717,40737) = 1658688429

Least Common Multiple (LCM) of 40717 and 40737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40717 and 40737. First we will calculate the prime factors of 40717 and 40737.

Prime Factorization of 40717

Prime factors of 40717 are 19, 2143. Prime factorization of 40717 in exponential form is:

40717 = 191 × 21431

Prime Factorization of 40737

Prime factors of 40737 are 3, 37, 367. Prime factorization of 40737 in exponential form is:

40737 = 31 × 371 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 40717 and 40737.

LCM(40717,40737) = 191 × 21431 × 31 × 371 × 3671
LCM(40717,40737) = 1658688429