What is the Least Common Multiple of 12393 and 12402?
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 12393 and 12402 is 17077554.
LCM(12393,12402) = 17077554
Least Common Multiple of 12393 and 12402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12393 and 12402, than apply into the LCM equation.
GCF(12393,12402) = 9
LCM(12393,12402) = ( 12393 × 12402) / 9
LCM(12393,12402) = 153697986 / 9
LCM(12393,12402) = 17077554
Least Common Multiple (LCM) of 12393 and 12402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12393 and 12402. First we will calculate the prime factors of 12393 and 12402.
Prime Factorization of 12393
Prime factors of 12393 are 3, 17. Prime factorization of 12393 in exponential form is:
12393 = 36 × 171
Prime Factorization of 12402
Prime factors of 12402 are 2, 3, 13, 53. Prime factorization of 12402 in exponential form is:
12402 = 21 × 32 × 131 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 12393 and 12402.
LCM(12393,12402) = 36 × 171 × 21 × 131 × 531
LCM(12393,12402) = 17077554
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