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What is the Least Common Multiple of 18462 and 18482?

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 18462 and 18482 is 170607342.

LCM(18462,18482) = 170607342

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Least Common Multiple of 18462 and 18482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18462 and 18482, than apply into the LCM equation.

GCF(18462,18482) = 2
LCM(18462,18482) = ( 18462 × 18482) / 2
LCM(18462,18482) = 341214684 / 2
LCM(18462,18482) = 170607342

Least Common Multiple (LCM) of 18462 and 18482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18462 and 18482. First we will calculate the prime factors of 18462 and 18482.

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

Prime Factorization of 18482

Prime factors of 18482 are 2, 9241. Prime factorization of 18482 in exponential form is:

18482 = 21 × 92411

Now multiplying the highest exponent prime factors to calculate the LCM of 18462 and 18482.

LCM(18462,18482) = 21 × 31 × 171 × 1811 × 92411
LCM(18462,18482) = 170607342