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What is the Least Common Multiple of 54502 and 54506?

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 54502 and 54506 is 1485343006.

LCM(54502,54506) = 1485343006

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Least Common Multiple of 54502 and 54506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54502 and 54506, than apply into the LCM equation.

GCF(54502,54506) = 2
LCM(54502,54506) = ( 54502 × 54506) / 2
LCM(54502,54506) = 2970686012 / 2
LCM(54502,54506) = 1485343006

Least Common Multiple (LCM) of 54502 and 54506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54502 and 54506. First we will calculate the prime factors of 54502 and 54506.

Prime Factorization of 54502

Prime factors of 54502 are 2, 7, 17, 229. Prime factorization of 54502 in exponential form is:

54502 = 21 × 71 × 171 × 2291

Prime Factorization of 54506

Prime factors of 54506 are 2, 27253. Prime factorization of 54506 in exponential form is:

54506 = 21 × 272531

Now multiplying the highest exponent prime factors to calculate the LCM of 54502 and 54506.

LCM(54502,54506) = 21 × 71 × 171 × 2291 × 272531
LCM(54502,54506) = 1485343006