What is the Least Common Multiple of 12108 and 12115?
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 12108 and 12115 is 146688420.
LCM(12108,12115) = 146688420
Least Common Multiple of 12108 and 12115 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12108 and 12115, than apply into the LCM equation.
GCF(12108,12115) = 1
LCM(12108,12115) = ( 12108 × 12115) / 1
LCM(12108,12115) = 146688420 / 1
LCM(12108,12115) = 146688420
Least Common Multiple (LCM) of 12108 and 12115 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12108 and 12115. First we will calculate the prime factors of 12108 and 12115.
Prime Factorization of 12108
Prime factors of 12108 are 2, 3, 1009. Prime factorization of 12108 in exponential form is:
12108 = 22 × 31 × 10091
Prime Factorization of 12115
Prime factors of 12115 are 5, 2423. Prime factorization of 12115 in exponential form is:
12115 = 51 × 24231
Now multiplying the highest exponent prime factors to calculate the LCM of 12108 and 12115.
LCM(12108,12115) = 22 × 31 × 10091 × 51 × 24231
LCM(12108,12115) = 146688420
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