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What is the Least Common Multiple of 18504 and 18515?

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 18504 and 18515 is 342601560.

LCM(18504,18515) = 342601560

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Least Common Multiple of 18504 and 18515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18504 and 18515, than apply into the LCM equation.

GCF(18504,18515) = 1
LCM(18504,18515) = ( 18504 × 18515) / 1
LCM(18504,18515) = 342601560 / 1
LCM(18504,18515) = 342601560

Least Common Multiple (LCM) of 18504 and 18515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18504 and 18515. First we will calculate the prime factors of 18504 and 18515.

Prime Factorization of 18504

Prime factors of 18504 are 2, 3, 257. Prime factorization of 18504 in exponential form is:

18504 = 23 × 32 × 2571

Prime Factorization of 18515

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

18515 = 51 × 71 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 18504 and 18515.

LCM(18504,18515) = 23 × 32 × 2571 × 51 × 71 × 232
LCM(18504,18515) = 342601560