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What is the Least Common Multiple of 54502 and 54519?

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 54519 is 174787914.

LCM(54502,54519) = 174787914

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Least Common Multiple of 54502 and 54519 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 54519, than apply into the LCM equation.

GCF(54502,54519) = 17
LCM(54502,54519) = ( 54502 × 54519) / 17
LCM(54502,54519) = 2971394538 / 17
LCM(54502,54519) = 174787914

Least Common Multiple (LCM) of 54502 and 54519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54502 and 54519. First we will calculate the prime factors of 54502 and 54519.

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 54519

Prime factors of 54519 are 3, 17, 1069. Prime factorization of 54519 in exponential form is:

54519 = 31 × 171 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 54502 and 54519.

LCM(54502,54519) = 21 × 71 × 171 × 2291 × 31 × 10691
LCM(54502,54519) = 174787914