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What is the Least Common Multiple of 18389 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 18389 and 18396 is 48326292.

LCM(18389,18396) = 48326292

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Least Common Multiple of 18389 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 18389 and 18396, than apply into the LCM equation.

GCF(18389,18396) = 7
LCM(18389,18396) = ( 18389 × 18396) / 7
LCM(18389,18396) = 338284044 / 7
LCM(18389,18396) = 48326292

Least Common Multiple (LCM) of 18389 and 18396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18389 and 18396. First we will calculate the prime factors of 18389 and 18396.

Prime Factorization of 18389

Prime factors of 18389 are 7, 37, 71. Prime factorization of 18389 in exponential form is:

18389 = 71 × 371 × 711

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 18389 and 18396.

LCM(18389,18396) = 71 × 371 × 711 × 22 × 32 × 731
LCM(18389,18396) = 48326292