What is the Least Common Multiple of 10147 and 10167?
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 10147 and 10167 is 103164549.
LCM(10147,10167) = 103164549
Least Common Multiple of 10147 and 10167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10147 and 10167, than apply into the LCM equation.
GCF(10147,10167) = 1
LCM(10147,10167) = ( 10147 × 10167) / 1
LCM(10147,10167) = 103164549 / 1
LCM(10147,10167) = 103164549
Least Common Multiple (LCM) of 10147 and 10167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10147 and 10167. First we will calculate the prime factors of 10147 and 10167.
Prime Factorization of 10147
Prime factors of 10147 are 73, 139. Prime factorization of 10147 in exponential form is:
10147 = 731 × 1391
Prime Factorization of 10167
Prime factors of 10167 are 3, 3389. Prime factorization of 10167 in exponential form is:
10167 = 31 × 33891
Now multiplying the highest exponent prime factors to calculate the LCM of 10147 and 10167.
LCM(10147,10167) = 731 × 1391 × 31 × 33891
LCM(10147,10167) = 103164549
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