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What is the Least Common Multiple of 17737 and 17754?

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 17737 and 17754 is 314902698.

LCM(17737,17754) = 314902698

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Least Common Multiple of 17737 and 17754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17737 and 17754, than apply into the LCM equation.

GCF(17737,17754) = 1
LCM(17737,17754) = ( 17737 × 17754) / 1
LCM(17737,17754) = 314902698 / 1
LCM(17737,17754) = 314902698

Least Common Multiple (LCM) of 17737 and 17754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17737 and 17754. First we will calculate the prime factors of 17737 and 17754.

Prime Factorization of 17737

Prime factors of 17737 are 17737. Prime factorization of 17737 in exponential form is:

17737 = 177371

Prime Factorization of 17754

Prime factors of 17754 are 2, 3, 11, 269. Prime factorization of 17754 in exponential form is:

17754 = 21 × 31 × 111 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 17737 and 17754.

LCM(17737,17754) = 177371 × 21 × 31 × 111 × 2691
LCM(17737,17754) = 314902698