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What is the Least Common Multiple of 17058 and 17072?

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 17058 and 17072 is 145607088.

LCM(17058,17072) = 145607088

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Least Common Multiple of 17058 and 17072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17058 and 17072, than apply into the LCM equation.

GCF(17058,17072) = 2
LCM(17058,17072) = ( 17058 × 17072) / 2
LCM(17058,17072) = 291214176 / 2
LCM(17058,17072) = 145607088

Least Common Multiple (LCM) of 17058 and 17072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17058 and 17072. First we will calculate the prime factors of 17058 and 17072.

Prime Factorization of 17058

Prime factors of 17058 are 2, 3, 2843. Prime factorization of 17058 in exponential form is:

17058 = 21 × 31 × 28431

Prime Factorization of 17072

Prime factors of 17072 are 2, 11, 97. Prime factorization of 17072 in exponential form is:

17072 = 24 × 111 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 17058 and 17072.

LCM(17058,17072) = 24 × 31 × 28431 × 111 × 971
LCM(17058,17072) = 145607088