What is the Least Common Multiple of 5133 and 5146?
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 5133 and 5146 is 26414418.
LCM(5133,5146) = 26414418
Least Common Multiple of 5133 and 5146 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5133 and 5146, than apply into the LCM equation.
GCF(5133,5146) = 1
LCM(5133,5146) = ( 5133 × 5146) / 1
LCM(5133,5146) = 26414418 / 1
LCM(5133,5146) = 26414418
Least Common Multiple (LCM) of 5133 and 5146 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5133 and 5146. First we will calculate the prime factors of 5133 and 5146.
Prime Factorization of 5133
Prime factors of 5133 are 3, 29, 59. Prime factorization of 5133 in exponential form is:
5133 = 31 × 291 × 591
Prime Factorization of 5146
Prime factors of 5146 are 2, 31, 83. Prime factorization of 5146 in exponential form is:
5146 = 21 × 311 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 5133 and 5146.
LCM(5133,5146) = 31 × 291 × 591 × 21 × 311 × 831
LCM(5133,5146) = 26414418
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