What is the Least Common Multiple of 5571 and 5578?
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 5571 and 5578 is 31075038.
LCM(5571,5578) = 31075038
Least Common Multiple of 5571 and 5578 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5571 and 5578, than apply into the LCM equation.
GCF(5571,5578) = 1
LCM(5571,5578) = ( 5571 × 5578) / 1
LCM(5571,5578) = 31075038 / 1
LCM(5571,5578) = 31075038
Least Common Multiple (LCM) of 5571 and 5578 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5571 and 5578. First we will calculate the prime factors of 5571 and 5578.
Prime Factorization of 5571
Prime factors of 5571 are 3, 619. Prime factorization of 5571 in exponential form is:
5571 = 32 × 6191
Prime Factorization of 5578
Prime factors of 5578 are 2, 2789. Prime factorization of 5578 in exponential form is:
5578 = 21 × 27891
Now multiplying the highest exponent prime factors to calculate the LCM of 5571 and 5578.
LCM(5571,5578) = 32 × 6191 × 21 × 27891
LCM(5571,5578) = 31075038
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