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What is the Least Common Multiple of 17037 and 17048?

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 17037 and 17048 is 290446776.

LCM(17037,17048) = 290446776

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Least Common Multiple of 17037 and 17048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17037 and 17048, than apply into the LCM equation.

GCF(17037,17048) = 1
LCM(17037,17048) = ( 17037 × 17048) / 1
LCM(17037,17048) = 290446776 / 1
LCM(17037,17048) = 290446776

Least Common Multiple (LCM) of 17037 and 17048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17037 and 17048. First we will calculate the prime factors of 17037 and 17048.

Prime Factorization of 17037

Prime factors of 17037 are 3, 631. Prime factorization of 17037 in exponential form is:

17037 = 33 × 6311

Prime Factorization of 17048

Prime factors of 17048 are 2, 2131. Prime factorization of 17048 in exponential form is:

17048 = 23 × 21311

Now multiplying the highest exponent prime factors to calculate the LCM of 17037 and 17048.

LCM(17037,17048) = 33 × 6311 × 23 × 21311
LCM(17037,17048) = 290446776