What is the Least Common Multiple of 12890 and 12908?
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 12890 and 12908 is 83192060.
LCM(12890,12908) = 83192060
Least Common Multiple of 12890 and 12908 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12890 and 12908, than apply into the LCM equation.
GCF(12890,12908) = 2
LCM(12890,12908) = ( 12890 × 12908) / 2
LCM(12890,12908) = 166384120 / 2
LCM(12890,12908) = 83192060
Least Common Multiple (LCM) of 12890 and 12908 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12890 and 12908. First we will calculate the prime factors of 12890 and 12908.
Prime Factorization of 12890
Prime factors of 12890 are 2, 5, 1289. Prime factorization of 12890 in exponential form is:
12890 = 21 × 51 × 12891
Prime Factorization of 12908
Prime factors of 12908 are 2, 7, 461. Prime factorization of 12908 in exponential form is:
12908 = 22 × 71 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 12890 and 12908.
LCM(12890,12908) = 22 × 51 × 12891 × 71 × 4611
LCM(12890,12908) = 83192060
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