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What is the Least Common Multiple of 17732 and 17751?

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 17732 and 17751 is 314760732.

LCM(17732,17751) = 314760732

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Least Common Multiple of 17732 and 17751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17732 and 17751, than apply into the LCM equation.

GCF(17732,17751) = 1
LCM(17732,17751) = ( 17732 × 17751) / 1
LCM(17732,17751) = 314760732 / 1
LCM(17732,17751) = 314760732

Least Common Multiple (LCM) of 17732 and 17751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17732 and 17751. First we will calculate the prime factors of 17732 and 17751.

Prime Factorization of 17732

Prime factors of 17732 are 2, 11, 13, 31. Prime factorization of 17732 in exponential form is:

17732 = 22 × 111 × 131 × 311

Prime Factorization of 17751

Prime factors of 17751 are 3, 61, 97. Prime factorization of 17751 in exponential form is:

17751 = 31 × 611 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 17732 and 17751.

LCM(17732,17751) = 22 × 111 × 131 × 311 × 31 × 611 × 971
LCM(17732,17751) = 314760732