What is the Least Common Multiple of 12182 and 12194?
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 12182 and 12194 is 74273654.
LCM(12182,12194) = 74273654
Least Common Multiple of 12182 and 12194 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12182 and 12194, than apply into the LCM equation.
GCF(12182,12194) = 2
LCM(12182,12194) = ( 12182 × 12194) / 2
LCM(12182,12194) = 148547308 / 2
LCM(12182,12194) = 74273654
Least Common Multiple (LCM) of 12182 and 12194 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12182 and 12194. First we will calculate the prime factors of 12182 and 12194.
Prime Factorization of 12182
Prime factors of 12182 are 2, 6091. Prime factorization of 12182 in exponential form is:
12182 = 21 × 60911
Prime Factorization of 12194
Prime factors of 12194 are 2, 7, 13, 67. Prime factorization of 12194 in exponential form is:
12194 = 21 × 71 × 131 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 12182 and 12194.
LCM(12182,12194) = 21 × 60911 × 71 × 131 × 671
LCM(12182,12194) = 74273654
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