What is the Least Common Multiple of 12481 and 12486?
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 12486 is 155837766.
LCM(12481,12486) = 155837766
Least Common Multiple of 12481 and 12486 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 12486, than apply into the LCM equation.
GCF(12481,12486) = 1
LCM(12481,12486) = ( 12481 × 12486) / 1
LCM(12481,12486) = 155837766 / 1
LCM(12481,12486) = 155837766
Least Common Multiple (LCM) of 12481 and 12486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12481 and 12486. First we will calculate the prime factors of 12481 and 12486.
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 12486
Prime factors of 12486 are 2, 3, 2081. Prime factorization of 12486 in exponential form is:
12486 = 21 × 31 × 20811
Now multiplying the highest exponent prime factors to calculate the LCM of 12481 and 12486.
LCM(12481,12486) = 71 × 17831 × 21 × 31 × 20811
LCM(12481,12486) = 155837766
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