What is the Least Common Multiple of 12463 and 12479?
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 12463 and 12479 is 155525777.
LCM(12463,12479) = 155525777
Least Common Multiple of 12463 and 12479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12463 and 12479, than apply into the LCM equation.
GCF(12463,12479) = 1
LCM(12463,12479) = ( 12463 × 12479) / 1
LCM(12463,12479) = 155525777 / 1
LCM(12463,12479) = 155525777
Least Common Multiple (LCM) of 12463 and 12479 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12463 and 12479. First we will calculate the prime factors of 12463 and 12479.
Prime Factorization of 12463
Prime factors of 12463 are 11, 103. Prime factorization of 12463 in exponential form is:
12463 = 112 × 1031
Prime Factorization of 12479
Prime factors of 12479 are 12479. Prime factorization of 12479 in exponential form is:
12479 = 124791
Now multiplying the highest exponent prime factors to calculate the LCM of 12463 and 12479.
LCM(12463,12479) = 112 × 1031 × 124791
LCM(12463,12479) = 155525777
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