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What is the Least Common Multiple of 17244 and 17250?

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 17244 and 17250 is 49576500.

LCM(17244,17250) = 49576500

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Least Common Multiple of 17244 and 17250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17244 and 17250, than apply into the LCM equation.

GCF(17244,17250) = 6
LCM(17244,17250) = ( 17244 × 17250) / 6
LCM(17244,17250) = 297459000 / 6
LCM(17244,17250) = 49576500

Least Common Multiple (LCM) of 17244 and 17250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17244 and 17250. First we will calculate the prime factors of 17244 and 17250.

Prime Factorization of 17244

Prime factors of 17244 are 2, 3, 479. Prime factorization of 17244 in exponential form is:

17244 = 22 × 32 × 4791

Prime Factorization of 17250

Prime factors of 17250 are 2, 3, 5, 23. Prime factorization of 17250 in exponential form is:

17250 = 21 × 31 × 53 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 17244 and 17250.

LCM(17244,17250) = 22 × 32 × 4791 × 53 × 231
LCM(17244,17250) = 49576500