What is the Least Common Multiple of 5487 and 5498?
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 5487 and 5498 is 30167526.
LCM(5487,5498) = 30167526
Least Common Multiple of 5487 and 5498 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5487 and 5498, than apply into the LCM equation.
GCF(5487,5498) = 1
LCM(5487,5498) = ( 5487 × 5498) / 1
LCM(5487,5498) = 30167526 / 1
LCM(5487,5498) = 30167526
Least Common Multiple (LCM) of 5487 and 5498 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5487 and 5498. First we will calculate the prime factors of 5487 and 5498.
Prime Factorization of 5487
Prime factors of 5487 are 3, 31, 59. Prime factorization of 5487 in exponential form is:
5487 = 31 × 311 × 591
Prime Factorization of 5498
Prime factors of 5498 are 2, 2749. Prime factorization of 5498 in exponential form is:
5498 = 21 × 27491
Now multiplying the highest exponent prime factors to calculate the LCM of 5487 and 5498.
LCM(5487,5498) = 31 × 311 × 591 × 21 × 27491
LCM(5487,5498) = 30167526
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