What is the Least Common Multiple of 5131 and 5140?
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 5131 and 5140 is 26373340.
LCM(5131,5140) = 26373340
Least Common Multiple of 5131 and 5140 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5131 and 5140, than apply into the LCM equation.
GCF(5131,5140) = 1
LCM(5131,5140) = ( 5131 × 5140) / 1
LCM(5131,5140) = 26373340 / 1
LCM(5131,5140) = 26373340
Least Common Multiple (LCM) of 5131 and 5140 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5131 and 5140. First we will calculate the prime factors of 5131 and 5140.
Prime Factorization of 5131
Prime factors of 5131 are 7, 733. Prime factorization of 5131 in exponential form is:
5131 = 71 × 7331
Prime Factorization of 5140
Prime factors of 5140 are 2, 5, 257. Prime factorization of 5140 in exponential form is:
5140 = 22 × 51 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 5131 and 5140.
LCM(5131,5140) = 71 × 7331 × 22 × 51 × 2571
LCM(5131,5140) = 26373340
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