What is the Least Common Multiple of 12485 and 12494?
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 12485 and 12494 is 155987590.
LCM(12485,12494) = 155987590
Least Common Multiple of 12485 and 12494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12485 and 12494, than apply into the LCM equation.
GCF(12485,12494) = 1
LCM(12485,12494) = ( 12485 × 12494) / 1
LCM(12485,12494) = 155987590 / 1
LCM(12485,12494) = 155987590
Least Common Multiple (LCM) of 12485 and 12494 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12485 and 12494. First we will calculate the prime factors of 12485 and 12494.
Prime Factorization of 12485
Prime factors of 12485 are 5, 11, 227. Prime factorization of 12485 in exponential form is:
12485 = 51 × 111 × 2271
Prime Factorization of 12494
Prime factors of 12494 are 2, 6247. Prime factorization of 12494 in exponential form is:
12494 = 21 × 62471
Now multiplying the highest exponent prime factors to calculate the LCM of 12485 and 12494.
LCM(12485,12494) = 51 × 111 × 2271 × 21 × 62471
LCM(12485,12494) = 155987590
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