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What is the Least Common Multiple of 18396 and 18410?

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 18396 and 18410 is 24190740.

LCM(18396,18410) = 24190740

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Least Common Multiple of 18396 and 18410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18396 and 18410, than apply into the LCM equation.

GCF(18396,18410) = 14
LCM(18396,18410) = ( 18396 × 18410) / 14
LCM(18396,18410) = 338670360 / 14
LCM(18396,18410) = 24190740

Least Common Multiple (LCM) of 18396 and 18410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18396 and 18410. First we will calculate the prime factors of 18396 and 18410.

Prime Factorization of 18396

Prime factors of 18396 are 2, 3, 7, 73. Prime factorization of 18396 in exponential form is:

18396 = 22 × 32 × 71 × 731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 18396 and 18410.

LCM(18396,18410) = 22 × 32 × 71 × 731 × 51 × 2631
LCM(18396,18410) = 24190740