What is the Least Common Multiple of 5603 and 5610?
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 5603 and 5610 is 31432830.
LCM(5603,5610) = 31432830
Least Common Multiple of 5603 and 5610 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5603 and 5610, than apply into the LCM equation.
GCF(5603,5610) = 1
LCM(5603,5610) = ( 5603 × 5610) / 1
LCM(5603,5610) = 31432830 / 1
LCM(5603,5610) = 31432830
Least Common Multiple (LCM) of 5603 and 5610 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5603 and 5610. First we will calculate the prime factors of 5603 and 5610.
Prime Factorization of 5603
Prime factors of 5603 are 13, 431. Prime factorization of 5603 in exponential form is:
5603 = 131 × 4311
Prime Factorization of 5610
Prime factors of 5610 are 2, 3, 5, 11, 17. Prime factorization of 5610 in exponential form is:
5610 = 21 × 31 × 51 × 111 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 5603 and 5610.
LCM(5603,5610) = 131 × 4311 × 21 × 31 × 51 × 111 × 171
LCM(5603,5610) = 31432830
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