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What is the Least Common Multiple of 17450 and 17465?

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 17450 and 17465 is 60952850.

LCM(17450,17465) = 60952850

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Least Common Multiple of 17450 and 17465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17450 and 17465, than apply into the LCM equation.

GCF(17450,17465) = 5
LCM(17450,17465) = ( 17450 × 17465) / 5
LCM(17450,17465) = 304764250 / 5
LCM(17450,17465) = 60952850

Least Common Multiple (LCM) of 17450 and 17465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17450 and 17465. First we will calculate the prime factors of 17450 and 17465.

Prime Factorization of 17450

Prime factors of 17450 are 2, 5, 349. Prime factorization of 17450 in exponential form is:

17450 = 21 × 52 × 3491

Prime Factorization of 17465

Prime factors of 17465 are 5, 7, 499. Prime factorization of 17465 in exponential form is:

17465 = 51 × 71 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 17450 and 17465.

LCM(17450,17465) = 21 × 52 × 3491 × 71 × 4991
LCM(17450,17465) = 60952850