What is the Least Common Multiple of 27155 and 27169?
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 27155 and 27169 is 737774195.
LCM(27155,27169) = 737774195
Least Common Multiple of 27155 and 27169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27155 and 27169, than apply into the LCM equation.
GCF(27155,27169) = 1
LCM(27155,27169) = ( 27155 × 27169) / 1
LCM(27155,27169) = 737774195 / 1
LCM(27155,27169) = 737774195
Least Common Multiple (LCM) of 27155 and 27169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27155 and 27169. First we will calculate the prime factors of 27155 and 27169.
Prime Factorization of 27155
Prime factors of 27155 are 5, 5431. Prime factorization of 27155 in exponential form is:
27155 = 51 × 54311
Prime Factorization of 27169
Prime factors of 27169 are 101, 269. Prime factorization of 27169 in exponential form is:
27169 = 1011 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 27155 and 27169.
LCM(27155,27169) = 51 × 54311 × 1011 × 2691
LCM(27155,27169) = 737774195
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