What is the Least Common Multiple of 12171 and 12185?
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 12171 and 12185 is 148303635.
LCM(12171,12185) = 148303635
Least Common Multiple of 12171 and 12185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12171 and 12185, than apply into the LCM equation.
GCF(12171,12185) = 1
LCM(12171,12185) = ( 12171 × 12185) / 1
LCM(12171,12185) = 148303635 / 1
LCM(12171,12185) = 148303635
Least Common Multiple (LCM) of 12171 and 12185 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12171 and 12185. First we will calculate the prime factors of 12171 and 12185.
Prime Factorization of 12171
Prime factors of 12171 are 3, 4057. Prime factorization of 12171 in exponential form is:
12171 = 31 × 40571
Prime Factorization of 12185
Prime factors of 12185 are 5, 2437. Prime factorization of 12185 in exponential form is:
12185 = 51 × 24371
Now multiplying the highest exponent prime factors to calculate the LCM of 12171 and 12185.
LCM(12171,12185) = 31 × 40571 × 51 × 24371
LCM(12171,12185) = 148303635
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