What is the Least Common Multiple of 12121 and 12138?
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 12121 and 12138 is 8654394.
LCM(12121,12138) = 8654394
Least Common Multiple of 12121 and 12138 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12121 and 12138, than apply into the LCM equation.
GCF(12121,12138) = 17
LCM(12121,12138) = ( 12121 × 12138) / 17
LCM(12121,12138) = 147124698 / 17
LCM(12121,12138) = 8654394
Least Common Multiple (LCM) of 12121 and 12138 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12121 and 12138. First we will calculate the prime factors of 12121 and 12138.
Prime Factorization of 12121
Prime factors of 12121 are 17, 23, 31. Prime factorization of 12121 in exponential form is:
12121 = 171 × 231 × 311
Prime Factorization of 12138
Prime factors of 12138 are 2, 3, 7, 17. Prime factorization of 12138 in exponential form is:
12138 = 21 × 31 × 71 × 172
Now multiplying the highest exponent prime factors to calculate the LCM of 12121 and 12138.
LCM(12121,12138) = 172 × 231 × 311 × 21 × 31 × 71
LCM(12121,12138) = 8654394
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