What is the Least Common Multiple of 12165 and 12171?
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 12165 and 12171 is 49353405.
LCM(12165,12171) = 49353405
Least Common Multiple of 12165 and 12171 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12165 and 12171, than apply into the LCM equation.
GCF(12165,12171) = 3
LCM(12165,12171) = ( 12165 × 12171) / 3
LCM(12165,12171) = 148060215 / 3
LCM(12165,12171) = 49353405
Least Common Multiple (LCM) of 12165 and 12171 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12165 and 12171. First we will calculate the prime factors of 12165 and 12171.
Prime Factorization of 12165
Prime factors of 12165 are 3, 5, 811. Prime factorization of 12165 in exponential form is:
12165 = 31 × 51 × 8111
Prime Factorization of 12171
Prime factors of 12171 are 3, 4057. Prime factorization of 12171 in exponential form is:
12171 = 31 × 40571
Now multiplying the highest exponent prime factors to calculate the LCM of 12165 and 12171.
LCM(12165,12171) = 31 × 51 × 8111 × 40571
LCM(12165,12171) = 49353405
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