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What is the Least Common Multiple of 18258 and 18277?

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 18258 and 18277 is 333701466.

LCM(18258,18277) = 333701466

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Least Common Multiple of 18258 and 18277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18258 and 18277, than apply into the LCM equation.

GCF(18258,18277) = 1
LCM(18258,18277) = ( 18258 × 18277) / 1
LCM(18258,18277) = 333701466 / 1
LCM(18258,18277) = 333701466

Least Common Multiple (LCM) of 18258 and 18277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18258 and 18277. First we will calculate the prime factors of 18258 and 18277.

Prime Factorization of 18258

Prime factors of 18258 are 2, 3, 17, 179. Prime factorization of 18258 in exponential form is:

18258 = 21 × 31 × 171 × 1791

Prime Factorization of 18277

Prime factors of 18277 are 7, 373. Prime factorization of 18277 in exponential form is:

18277 = 72 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 18258 and 18277.

LCM(18258,18277) = 21 × 31 × 171 × 1791 × 72 × 3731
LCM(18258,18277) = 333701466