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What is the Least Common Multiple of 18469 and 18489?

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 18469 and 18489 is 341473341.

LCM(18469,18489) = 341473341

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Least Common Multiple of 18469 and 18489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18469 and 18489, than apply into the LCM equation.

GCF(18469,18489) = 1
LCM(18469,18489) = ( 18469 × 18489) / 1
LCM(18469,18489) = 341473341 / 1
LCM(18469,18489) = 341473341

Least Common Multiple (LCM) of 18469 and 18489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18469 and 18489. First we will calculate the prime factors of 18469 and 18489.

Prime Factorization of 18469

Prime factors of 18469 are 11, 23, 73. Prime factorization of 18469 in exponential form is:

18469 = 111 × 231 × 731

Prime Factorization of 18489

Prime factors of 18489 are 3, 6163. Prime factorization of 18489 in exponential form is:

18489 = 31 × 61631

Now multiplying the highest exponent prime factors to calculate the LCM of 18469 and 18489.

LCM(18469,18489) = 111 × 231 × 731 × 31 × 61631
LCM(18469,18489) = 341473341