What is the Least Common Multiple of 27161 and 27167?
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 27161 and 27167 is 737882887.
LCM(27161,27167) = 737882887
Least Common Multiple of 27161 and 27167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27161 and 27167, than apply into the LCM equation.
GCF(27161,27167) = 1
LCM(27161,27167) = ( 27161 × 27167) / 1
LCM(27161,27167) = 737882887 / 1
LCM(27161,27167) = 737882887
Least Common Multiple (LCM) of 27161 and 27167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27161 and 27167. First we will calculate the prime factors of 27161 and 27167.
Prime Factorization of 27161
Prime factors of 27161 are 157, 173. Prime factorization of 27161 in exponential form is:
27161 = 1571 × 1731
Prime Factorization of 27167
Prime factors of 27167 are 7, 3881. Prime factorization of 27167 in exponential form is:
27167 = 71 × 38811
Now multiplying the highest exponent prime factors to calculate the LCM of 27161 and 27167.
LCM(27161,27167) = 1571 × 1731 × 71 × 38811
LCM(27161,27167) = 737882887
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