What is the Least Common Multiple of 5105 and 5119?
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 5105 and 5119 is 26132495.
LCM(5105,5119) = 26132495
Least Common Multiple of 5105 and 5119 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5105 and 5119, than apply into the LCM equation.
GCF(5105,5119) = 1
LCM(5105,5119) = ( 5105 × 5119) / 1
LCM(5105,5119) = 26132495 / 1
LCM(5105,5119) = 26132495
Least Common Multiple (LCM) of 5105 and 5119 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5105 and 5119. First we will calculate the prime factors of 5105 and 5119.
Prime Factorization of 5105
Prime factors of 5105 are 5, 1021. Prime factorization of 5105 in exponential form is:
5105 = 51 × 10211
Prime Factorization of 5119
Prime factors of 5119 are 5119. Prime factorization of 5119 in exponential form is:
5119 = 51191
Now multiplying the highest exponent prime factors to calculate the LCM of 5105 and 5119.
LCM(5105,5119) = 51 × 10211 × 51191
LCM(5105,5119) = 26132495
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