What is the Least Common Multiple of 12592 and 12605?
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 12592 and 12605 is 158722160.
LCM(12592,12605) = 158722160
Least Common Multiple of 12592 and 12605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12592 and 12605, than apply into the LCM equation.
GCF(12592,12605) = 1
LCM(12592,12605) = ( 12592 × 12605) / 1
LCM(12592,12605) = 158722160 / 1
LCM(12592,12605) = 158722160
Least Common Multiple (LCM) of 12592 and 12605 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12592 and 12605. First we will calculate the prime factors of 12592 and 12605.
Prime Factorization of 12592
Prime factors of 12592 are 2, 787. Prime factorization of 12592 in exponential form is:
12592 = 24 × 7871
Prime Factorization of 12605
Prime factors of 12605 are 5, 2521. Prime factorization of 12605 in exponential form is:
12605 = 51 × 25211
Now multiplying the highest exponent prime factors to calculate the LCM of 12592 and 12605.
LCM(12592,12605) = 24 × 7871 × 51 × 25211
LCM(12592,12605) = 158722160
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