What is the Least Common Multiple of 12481 and 12497?
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 12481 and 12497 is 155975057.
LCM(12481,12497) = 155975057
Least Common Multiple of 12481 and 12497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12481 and 12497, than apply into the LCM equation.
GCF(12481,12497) = 1
LCM(12481,12497) = ( 12481 × 12497) / 1
LCM(12481,12497) = 155975057 / 1
LCM(12481,12497) = 155975057
Least Common Multiple (LCM) of 12481 and 12497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12481 and 12497. First we will calculate the prime factors of 12481 and 12497.
Prime Factorization of 12481
Prime factors of 12481 are 7, 1783. Prime factorization of 12481 in exponential form is:
12481 = 71 × 17831
Prime Factorization of 12497
Prime factors of 12497 are 12497. Prime factorization of 12497 in exponential form is:
12497 = 124971
Now multiplying the highest exponent prime factors to calculate the LCM of 12481 and 12497.
LCM(12481,12497) = 71 × 17831 × 124971
LCM(12481,12497) = 155975057
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