What is the Least Common Multiple of 12613 and 12622?
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 12613 and 12622 is 159201286.
LCM(12613,12622) = 159201286
Least Common Multiple of 12613 and 12622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12613 and 12622, than apply into the LCM equation.
GCF(12613,12622) = 1
LCM(12613,12622) = ( 12613 × 12622) / 1
LCM(12613,12622) = 159201286 / 1
LCM(12613,12622) = 159201286
Least Common Multiple (LCM) of 12613 and 12622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12613 and 12622. First we will calculate the prime factors of 12613 and 12622.
Prime Factorization of 12613
Prime factors of 12613 are 12613. Prime factorization of 12613 in exponential form is:
12613 = 126131
Prime Factorization of 12622
Prime factors of 12622 are 2, 6311. Prime factorization of 12622 in exponential form is:
12622 = 21 × 63111
Now multiplying the highest exponent prime factors to calculate the LCM of 12613 and 12622.
LCM(12613,12622) = 126131 × 21 × 63111
LCM(12613,12622) = 159201286
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