What is the Least Common Multiple of 12395 and 12411?
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 12395 and 12411 is 153834345.
LCM(12395,12411) = 153834345
Least Common Multiple of 12395 and 12411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12395 and 12411, than apply into the LCM equation.
GCF(12395,12411) = 1
LCM(12395,12411) = ( 12395 × 12411) / 1
LCM(12395,12411) = 153834345 / 1
LCM(12395,12411) = 153834345
Least Common Multiple (LCM) of 12395 and 12411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12395 and 12411. First we will calculate the prime factors of 12395 and 12411.
Prime Factorization of 12395
Prime factors of 12395 are 5, 37, 67. Prime factorization of 12395 in exponential form is:
12395 = 51 × 371 × 671
Prime Factorization of 12411
Prime factors of 12411 are 3, 7, 197. Prime factorization of 12411 in exponential form is:
12411 = 32 × 71 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 12395 and 12411.
LCM(12395,12411) = 51 × 371 × 671 × 32 × 71 × 1971
LCM(12395,12411) = 153834345
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