What is the Least Common Multiple of 12147 and 12167?
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 12147 and 12167 is 147792549.
LCM(12147,12167) = 147792549
Least Common Multiple of 12147 and 12167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12147 and 12167, than apply into the LCM equation.
GCF(12147,12167) = 1
LCM(12147,12167) = ( 12147 × 12167) / 1
LCM(12147,12167) = 147792549 / 1
LCM(12147,12167) = 147792549
Least Common Multiple (LCM) of 12147 and 12167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12147 and 12167. First we will calculate the prime factors of 12147 and 12167.
Prime Factorization of 12147
Prime factors of 12147 are 3, 4049. Prime factorization of 12147 in exponential form is:
12147 = 31 × 40491
Prime Factorization of 12167
Prime factors of 12167 are 23. Prime factorization of 12167 in exponential form is:
12167 = 233
Now multiplying the highest exponent prime factors to calculate the LCM of 12147 and 12167.
LCM(12147,12167) = 31 × 40491 × 233
LCM(12147,12167) = 147792549
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