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What is the Least Common Multiple of 18675 and 18682?

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 18675 and 18682 is 348886350.

LCM(18675,18682) = 348886350

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Least Common Multiple of 18675 and 18682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18675 and 18682, than apply into the LCM equation.

GCF(18675,18682) = 1
LCM(18675,18682) = ( 18675 × 18682) / 1
LCM(18675,18682) = 348886350 / 1
LCM(18675,18682) = 348886350

Least Common Multiple (LCM) of 18675 and 18682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18675 and 18682. First we will calculate the prime factors of 18675 and 18682.

Prime Factorization of 18675

Prime factors of 18675 are 3, 5, 83. Prime factorization of 18675 in exponential form is:

18675 = 32 × 52 × 831

Prime Factorization of 18682

Prime factors of 18682 are 2, 9341. Prime factorization of 18682 in exponential form is:

18682 = 21 × 93411

Now multiplying the highest exponent prime factors to calculate the LCM of 18675 and 18682.

LCM(18675,18682) = 32 × 52 × 831 × 21 × 93411
LCM(18675,18682) = 348886350