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What is the Least Common Multiple of 18455 and 18465?

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 18455 and 18465 is 68154315.

LCM(18455,18465) = 68154315

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Least Common Multiple of 18455 and 18465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18455 and 18465, than apply into the LCM equation.

GCF(18455,18465) = 5
LCM(18455,18465) = ( 18455 × 18465) / 5
LCM(18455,18465) = 340771575 / 5
LCM(18455,18465) = 68154315

Least Common Multiple (LCM) of 18455 and 18465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18455 and 18465. First we will calculate the prime factors of 18455 and 18465.

Prime Factorization of 18455

Prime factors of 18455 are 5, 3691. Prime factorization of 18455 in exponential form is:

18455 = 51 × 36911

Prime Factorization of 18465

Prime factors of 18465 are 3, 5, 1231. Prime factorization of 18465 in exponential form is:

18465 = 31 × 51 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 18455 and 18465.

LCM(18455,18465) = 51 × 36911 × 31 × 12311
LCM(18455,18465) = 68154315