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What is the Least Common Multiple of 18515 and 18519?

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 18515 and 18519 is 342879285.

LCM(18515,18519) = 342879285

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Least Common Multiple of 18515 and 18519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18515 and 18519, than apply into the LCM equation.

GCF(18515,18519) = 1
LCM(18515,18519) = ( 18515 × 18519) / 1
LCM(18515,18519) = 342879285 / 1
LCM(18515,18519) = 342879285

Least Common Multiple (LCM) of 18515 and 18519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18515 and 18519. First we will calculate the prime factors of 18515 and 18519.

Prime Factorization of 18515

Prime factors of 18515 are 5, 7, 23. Prime factorization of 18515 in exponential form is:

18515 = 51 × 71 × 232

Prime Factorization of 18519

Prime factors of 18519 are 3, 6173. Prime factorization of 18519 in exponential form is:

18519 = 31 × 61731

Now multiplying the highest exponent prime factors to calculate the LCM of 18515 and 18519.

LCM(18515,18519) = 51 × 71 × 232 × 31 × 61731
LCM(18515,18519) = 342879285