What is the Least Common Multiple of 12394 and 12414?
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 12394 and 12414 is 76929558.
LCM(12394,12414) = 76929558
Least Common Multiple of 12394 and 12414 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12394 and 12414, than apply into the LCM equation.
GCF(12394,12414) = 2
LCM(12394,12414) = ( 12394 × 12414) / 2
LCM(12394,12414) = 153859116 / 2
LCM(12394,12414) = 76929558
Least Common Multiple (LCM) of 12394 and 12414 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12394 and 12414. First we will calculate the prime factors of 12394 and 12414.
Prime Factorization of 12394
Prime factors of 12394 are 2, 6197. Prime factorization of 12394 in exponential form is:
12394 = 21 × 61971
Prime Factorization of 12414
Prime factors of 12414 are 2, 3, 2069. Prime factorization of 12414 in exponential form is:
12414 = 21 × 31 × 20691
Now multiplying the highest exponent prime factors to calculate the LCM of 12394 and 12414.
LCM(12394,12414) = 21 × 61971 × 31 × 20691
LCM(12394,12414) = 76929558
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