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What is the Least Common Multiple of 18479 and 18488?

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 18479 and 18488 is 341639752.

LCM(18479,18488) = 341639752

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Least Common Multiple of 18479 and 18488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18479 and 18488, than apply into the LCM equation.

GCF(18479,18488) = 1
LCM(18479,18488) = ( 18479 × 18488) / 1
LCM(18479,18488) = 341639752 / 1
LCM(18479,18488) = 341639752

Least Common Multiple (LCM) of 18479 and 18488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18479 and 18488. First we will calculate the prime factors of 18479 and 18488.

Prime Factorization of 18479

Prime factors of 18479 are 17, 1087. Prime factorization of 18479 in exponential form is:

18479 = 171 × 10871

Prime Factorization of 18488

Prime factors of 18488 are 2, 2311. Prime factorization of 18488 in exponential form is:

18488 = 23 × 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 18479 and 18488.

LCM(18479,18488) = 171 × 10871 × 23 × 23111
LCM(18479,18488) = 341639752