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What is the Least Common Multiple of 9490 and 9500?

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 9490 and 9500 is 9015500.

LCM(9490,9500) = 9015500

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Least Common Multiple of 9490 and 9500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9490 and 9500, than apply into the LCM equation.

GCF(9490,9500) = 10
LCM(9490,9500) = ( 9490 × 9500) / 10
LCM(9490,9500) = 90155000 / 10
LCM(9490,9500) = 9015500

Least Common Multiple (LCM) of 9490 and 9500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9490 and 9500. First we will calculate the prime factors of 9490 and 9500.

Prime Factorization of 9490

Prime factors of 9490 are 2, 5, 13, 73. Prime factorization of 9490 in exponential form is:

9490 = 21 × 51 × 131 × 731

Prime Factorization of 9500

Prime factors of 9500 are 2, 5, 19. Prime factorization of 9500 in exponential form is:

9500 = 22 × 53 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 9490 and 9500.

LCM(9490,9500) = 22 × 53 × 131 × 731 × 191
LCM(9490,9500) = 9015500