What is the Least Common Multiple of 27163 and 27179?
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 27163 and 27179 is 738263177.
LCM(27163,27179) = 738263177
Least Common Multiple of 27163 and 27179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27163 and 27179, than apply into the LCM equation.
GCF(27163,27179) = 1
LCM(27163,27179) = ( 27163 × 27179) / 1
LCM(27163,27179) = 738263177 / 1
LCM(27163,27179) = 738263177
Least Common Multiple (LCM) of 27163 and 27179 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27163 and 27179. First we will calculate the prime factors of 27163 and 27179.
Prime Factorization of 27163
Prime factors of 27163 are 23, 1181. Prime factorization of 27163 in exponential form is:
27163 = 231 × 11811
Prime Factorization of 27179
Prime factors of 27179 are 27179. Prime factorization of 27179 in exponential form is:
27179 = 271791
Now multiplying the highest exponent prime factors to calculate the LCM of 27163 and 27179.
LCM(27163,27179) = 231 × 11811 × 271791
LCM(27163,27179) = 738263177
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