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What is the Least Common Multiple of 18275 and 18282?

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 18275 and 18282 is 334103550.

LCM(18275,18282) = 334103550

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Least Common Multiple of 18275 and 18282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18275 and 18282, than apply into the LCM equation.

GCF(18275,18282) = 1
LCM(18275,18282) = ( 18275 × 18282) / 1
LCM(18275,18282) = 334103550 / 1
LCM(18275,18282) = 334103550

Least Common Multiple (LCM) of 18275 and 18282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18275 and 18282. First we will calculate the prime factors of 18275 and 18282.

Prime Factorization of 18275

Prime factors of 18275 are 5, 17, 43. Prime factorization of 18275 in exponential form is:

18275 = 52 × 171 × 431

Prime Factorization of 18282

Prime factors of 18282 are 2, 3, 11, 277. Prime factorization of 18282 in exponential form is:

18282 = 21 × 31 × 111 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 18275 and 18282.

LCM(18275,18282) = 52 × 171 × 431 × 21 × 31 × 111 × 2771
LCM(18275,18282) = 334103550