What is the Least Common Multiple of 12162 and 12181?
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 12162 and 12181 is 148145322.
LCM(12162,12181) = 148145322
Least Common Multiple of 12162 and 12181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12162 and 12181, than apply into the LCM equation.
GCF(12162,12181) = 1
LCM(12162,12181) = ( 12162 × 12181) / 1
LCM(12162,12181) = 148145322 / 1
LCM(12162,12181) = 148145322
Least Common Multiple (LCM) of 12162 and 12181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12162 and 12181. First we will calculate the prime factors of 12162 and 12181.
Prime Factorization of 12162
Prime factors of 12162 are 2, 3, 2027. Prime factorization of 12162 in exponential form is:
12162 = 21 × 31 × 20271
Prime Factorization of 12181
Prime factors of 12181 are 13, 937. Prime factorization of 12181 in exponential form is:
12181 = 131 × 9371
Now multiplying the highest exponent prime factors to calculate the LCM of 12162 and 12181.
LCM(12162,12181) = 21 × 31 × 20271 × 131 × 9371
LCM(12162,12181) = 148145322
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