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What is the Least Common Multiple of 17324 and 17336?

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 17324 and 17336 is 75082216.

LCM(17324,17336) = 75082216

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Least Common Multiple of 17324 and 17336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17324 and 17336, than apply into the LCM equation.

GCF(17324,17336) = 4
LCM(17324,17336) = ( 17324 × 17336) / 4
LCM(17324,17336) = 300328864 / 4
LCM(17324,17336) = 75082216

Least Common Multiple (LCM) of 17324 and 17336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17324 and 17336. First we will calculate the prime factors of 17324 and 17336.

Prime Factorization of 17324

Prime factors of 17324 are 2, 61, 71. Prime factorization of 17324 in exponential form is:

17324 = 22 × 611 × 711

Prime Factorization of 17336

Prime factors of 17336 are 2, 11, 197. Prime factorization of 17336 in exponential form is:

17336 = 23 × 111 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 17324 and 17336.

LCM(17324,17336) = 23 × 611 × 711 × 111 × 1971
LCM(17324,17336) = 75082216