What is the Least Common Multiple of 12108 and 12119?
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 12119 is 146736852.
LCM(12108,12119) = 146736852
Least Common Multiple of 12108 and 12119 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 12119, than apply into the LCM equation.
GCF(12108,12119) = 1
LCM(12108,12119) = ( 12108 × 12119) / 1
LCM(12108,12119) = 146736852 / 1
LCM(12108,12119) = 146736852
Least Common Multiple (LCM) of 12108 and 12119 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12108 and 12119. First we will calculate the prime factors of 12108 and 12119.
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 12119
Prime factors of 12119 are 12119. Prime factorization of 12119 in exponential form is:
12119 = 121191
Now multiplying the highest exponent prime factors to calculate the LCM of 12108 and 12119.
LCM(12108,12119) = 22 × 31 × 10091 × 121191
LCM(12108,12119) = 146736852
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