What is the Least Common Multiple of 5578 and 5587?
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 5578 and 5587 is 31164286.
LCM(5578,5587) = 31164286
Least Common Multiple of 5578 and 5587 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5578 and 5587, than apply into the LCM equation.
GCF(5578,5587) = 1
LCM(5578,5587) = ( 5578 × 5587) / 1
LCM(5578,5587) = 31164286 / 1
LCM(5578,5587) = 31164286
Least Common Multiple (LCM) of 5578 and 5587 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5578 and 5587. First we will calculate the prime factors of 5578 and 5587.
Prime Factorization of 5578
Prime factors of 5578 are 2, 2789. Prime factorization of 5578 in exponential form is:
5578 = 21 × 27891
Prime Factorization of 5587
Prime factors of 5587 are 37, 151. Prime factorization of 5587 in exponential form is:
5587 = 371 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 5578 and 5587.
LCM(5578,5587) = 21 × 27891 × 371 × 1511
LCM(5578,5587) = 31164286
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