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What is the Least Common Multiple of 17747 and 17760?

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 17747 and 17760 is 315186720.

LCM(17747,17760) = 315186720

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Least Common Multiple of 17747 and 17760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17747 and 17760, than apply into the LCM equation.

GCF(17747,17760) = 1
LCM(17747,17760) = ( 17747 × 17760) / 1
LCM(17747,17760) = 315186720 / 1
LCM(17747,17760) = 315186720

Least Common Multiple (LCM) of 17747 and 17760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17747 and 17760. First we will calculate the prime factors of 17747 and 17760.

Prime Factorization of 17747

Prime factors of 17747 are 17747. Prime factorization of 17747 in exponential form is:

17747 = 177471

Prime Factorization of 17760

Prime factors of 17760 are 2, 3, 5, 37. Prime factorization of 17760 in exponential form is:

17760 = 25 × 31 × 51 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 17747 and 17760.

LCM(17747,17760) = 177471 × 25 × 31 × 51 × 371
LCM(17747,17760) = 315186720