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What is the Least Common Multiple of 18380 and 18396?

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 18380 and 18396 is 84529620.

LCM(18380,18396) = 84529620

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Least Common Multiple of 18380 and 18396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18380 and 18396, than apply into the LCM equation.

GCF(18380,18396) = 4
LCM(18380,18396) = ( 18380 × 18396) / 4
LCM(18380,18396) = 338118480 / 4
LCM(18380,18396) = 84529620

Least Common Multiple (LCM) of 18380 and 18396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18380 and 18396. First we will calculate the prime factors of 18380 and 18396.

Prime Factorization of 18380

Prime factors of 18380 are 2, 5, 919. Prime factorization of 18380 in exponential form is:

18380 = 22 × 51 × 9191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 18380 and 18396.

LCM(18380,18396) = 22 × 51 × 9191 × 32 × 71 × 731
LCM(18380,18396) = 84529620