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What is the Least Common Multiple of 18458 and 18462?

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 18458 and 18462 is 170385798.

LCM(18458,18462) = 170385798

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Least Common Multiple of 18458 and 18462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18458 and 18462, than apply into the LCM equation.

GCF(18458,18462) = 2
LCM(18458,18462) = ( 18458 × 18462) / 2
LCM(18458,18462) = 340771596 / 2
LCM(18458,18462) = 170385798

Least Common Multiple (LCM) of 18458 and 18462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18458 and 18462. First we will calculate the prime factors of 18458 and 18462.

Prime Factorization of 18458

Prime factors of 18458 are 2, 11, 839. Prime factorization of 18458 in exponential form is:

18458 = 21 × 111 × 8391

Prime Factorization of 18462

Prime factors of 18462 are 2, 3, 17, 181. Prime factorization of 18462 in exponential form is:

18462 = 21 × 31 × 171 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 18458 and 18462.

LCM(18458,18462) = 21 × 111 × 8391 × 31 × 171 × 1811
LCM(18458,18462) = 170385798