What is the Least Common Multiple of 10583 and 10590?
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 10583 and 10590 is 112073970.
LCM(10583,10590) = 112073970
Least Common Multiple of 10583 and 10590 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10583 and 10590, than apply into the LCM equation.
GCF(10583,10590) = 1
LCM(10583,10590) = ( 10583 × 10590) / 1
LCM(10583,10590) = 112073970 / 1
LCM(10583,10590) = 112073970
Least Common Multiple (LCM) of 10583 and 10590 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10583 and 10590. First we will calculate the prime factors of 10583 and 10590.
Prime Factorization of 10583
Prime factors of 10583 are 19, 557. Prime factorization of 10583 in exponential form is:
10583 = 191 × 5571
Prime Factorization of 10590
Prime factors of 10590 are 2, 3, 5, 353. Prime factorization of 10590 in exponential form is:
10590 = 21 × 31 × 51 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 10583 and 10590.
LCM(10583,10590) = 191 × 5571 × 21 × 31 × 51 × 3531
LCM(10583,10590) = 112073970
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