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What is the Least Common Multiple of 18410 and 18430?

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 18410 and 18430 is 33929630.

LCM(18410,18430) = 33929630

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Least Common Multiple of 18410 and 18430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18410 and 18430, than apply into the LCM equation.

GCF(18410,18430) = 10
LCM(18410,18430) = ( 18410 × 18430) / 10
LCM(18410,18430) = 339296300 / 10
LCM(18410,18430) = 33929630

Least Common Multiple (LCM) of 18410 and 18430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18410 and 18430. First we will calculate the prime factors of 18410 and 18430.

Prime Factorization of 18410

Prime factors of 18410 are 2, 5, 7, 263. Prime factorization of 18410 in exponential form is:

18410 = 21 × 51 × 71 × 2631

Prime Factorization of 18430

Prime factors of 18430 are 2, 5, 19, 97. Prime factorization of 18430 in exponential form is:

18430 = 21 × 51 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 18410 and 18430.

LCM(18410,18430) = 21 × 51 × 71 × 2631 × 191 × 971
LCM(18410,18430) = 33929630