What is the Least Common Multiple of 12114 and 12133?
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 12114 and 12133 is 146979162.
LCM(12114,12133) = 146979162
Least Common Multiple of 12114 and 12133 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12114 and 12133, than apply into the LCM equation.
GCF(12114,12133) = 1
LCM(12114,12133) = ( 12114 × 12133) / 1
LCM(12114,12133) = 146979162 / 1
LCM(12114,12133) = 146979162
Least Common Multiple (LCM) of 12114 and 12133 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12114 and 12133. First we will calculate the prime factors of 12114 and 12133.
Prime Factorization of 12114
Prime factors of 12114 are 2, 3, 673. Prime factorization of 12114 in exponential form is:
12114 = 21 × 32 × 6731
Prime Factorization of 12133
Prime factors of 12133 are 11, 1103. Prime factorization of 12133 in exponential form is:
12133 = 111 × 11031
Now multiplying the highest exponent prime factors to calculate the LCM of 12114 and 12133.
LCM(12114,12133) = 21 × 32 × 6731 × 111 × 11031
LCM(12114,12133) = 146979162
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