What is the Least Common Multiple of 12939 and 12945?
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 12939 and 12945 is 55831785.
LCM(12939,12945) = 55831785
Least Common Multiple of 12939 and 12945 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12939 and 12945, than apply into the LCM equation.
GCF(12939,12945) = 3
LCM(12939,12945) = ( 12939 × 12945) / 3
LCM(12939,12945) = 167495355 / 3
LCM(12939,12945) = 55831785
Least Common Multiple (LCM) of 12939 and 12945 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12939 and 12945. First we will calculate the prime factors of 12939 and 12945.
Prime Factorization of 12939
Prime factors of 12939 are 3, 19, 227. Prime factorization of 12939 in exponential form is:
12939 = 31 × 191 × 2271
Prime Factorization of 12945
Prime factors of 12945 are 3, 5, 863. Prime factorization of 12945 in exponential form is:
12945 = 31 × 51 × 8631
Now multiplying the highest exponent prime factors to calculate the LCM of 12939 and 12945.
LCM(12939,12945) = 31 × 191 × 2271 × 51 × 8631
LCM(12939,12945) = 55831785
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