What is the Least Common Multiple of 6135 and 6141?
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 6135 and 6141 is 12558345.
LCM(6135,6141) = 12558345
Least Common Multiple of 6135 and 6141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6135 and 6141, than apply into the LCM equation.
GCF(6135,6141) = 3
LCM(6135,6141) = ( 6135 × 6141) / 3
LCM(6135,6141) = 37675035 / 3
LCM(6135,6141) = 12558345
Least Common Multiple (LCM) of 6135 and 6141 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6135 and 6141. First we will calculate the prime factors of 6135 and 6141.
Prime Factorization of 6135
Prime factors of 6135 are 3, 5, 409. Prime factorization of 6135 in exponential form is:
6135 = 31 × 51 × 4091
Prime Factorization of 6141
Prime factors of 6141 are 3, 23, 89. Prime factorization of 6141 in exponential form is:
6141 = 31 × 231 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 6135 and 6141.
LCM(6135,6141) = 31 × 51 × 4091 × 231 × 891
LCM(6135,6141) = 12558345
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