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What is the Least Common Multiple of 47481 and 47495?

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 47481 and 47495 is 322158585.

LCM(47481,47495) = 322158585

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Least Common Multiple of 47481 and 47495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47481 and 47495, than apply into the LCM equation.

GCF(47481,47495) = 7
LCM(47481,47495) = ( 47481 × 47495) / 7
LCM(47481,47495) = 2255110095 / 7
LCM(47481,47495) = 322158585

Least Common Multiple (LCM) of 47481 and 47495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47481 and 47495. First we will calculate the prime factors of 47481 and 47495.

Prime Factorization of 47481

Prime factors of 47481 are 3, 7, 17, 19. Prime factorization of 47481 in exponential form is:

47481 = 31 × 72 × 171 × 191

Prime Factorization of 47495

Prime factors of 47495 are 5, 7, 23, 59. Prime factorization of 47495 in exponential form is:

47495 = 51 × 71 × 231 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 47481 and 47495.

LCM(47481,47495) = 31 × 72 × 171 × 191 × 51 × 231 × 591
LCM(47481,47495) = 322158585