What is the Least Common Multiple of 5161 and 5176?
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 5161 and 5176 is 26713336.
LCM(5161,5176) = 26713336
Least Common Multiple of 5161 and 5176 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5161 and 5176, than apply into the LCM equation.
GCF(5161,5176) = 1
LCM(5161,5176) = ( 5161 × 5176) / 1
LCM(5161,5176) = 26713336 / 1
LCM(5161,5176) = 26713336
Least Common Multiple (LCM) of 5161 and 5176 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5161 and 5176. First we will calculate the prime factors of 5161 and 5176.
Prime Factorization of 5161
Prime factors of 5161 are 13, 397. Prime factorization of 5161 in exponential form is:
5161 = 131 × 3971
Prime Factorization of 5176
Prime factors of 5176 are 2, 647. Prime factorization of 5176 in exponential form is:
5176 = 23 × 6471
Now multiplying the highest exponent prime factors to calculate the LCM of 5161 and 5176.
LCM(5161,5176) = 131 × 3971 × 23 × 6471
LCM(5161,5176) = 26713336
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