What is the Least Common Multiple of 27167 and 27185?
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 27167 and 27185 is 738534895.
LCM(27167,27185) = 738534895
Least Common Multiple of 27167 and 27185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27167 and 27185, than apply into the LCM equation.
GCF(27167,27185) = 1
LCM(27167,27185) = ( 27167 × 27185) / 1
LCM(27167,27185) = 738534895 / 1
LCM(27167,27185) = 738534895
Least Common Multiple (LCM) of 27167 and 27185 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27167 and 27185. First we will calculate the prime factors of 27167 and 27185.
Prime Factorization of 27167
Prime factors of 27167 are 7, 3881. Prime factorization of 27167 in exponential form is:
27167 = 71 × 38811
Prime Factorization of 27185
Prime factors of 27185 are 5, 5437. Prime factorization of 27185 in exponential form is:
27185 = 51 × 54371
Now multiplying the highest exponent prime factors to calculate the LCM of 27167 and 27185.
LCM(27167,27185) = 71 × 38811 × 51 × 54371
LCM(27167,27185) = 738534895
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