What is the Least Common Multiple of 5099 and 5116?
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 5099 and 5116 is 26086484.
LCM(5099,5116) = 26086484
Least Common Multiple of 5099 and 5116 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5099 and 5116, than apply into the LCM equation.
GCF(5099,5116) = 1
LCM(5099,5116) = ( 5099 × 5116) / 1
LCM(5099,5116) = 26086484 / 1
LCM(5099,5116) = 26086484
Least Common Multiple (LCM) of 5099 and 5116 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5099 and 5116. First we will calculate the prime factors of 5099 and 5116.
Prime Factorization of 5099
Prime factors of 5099 are 5099. Prime factorization of 5099 in exponential form is:
5099 = 50991
Prime Factorization of 5116
Prime factors of 5116 are 2, 1279. Prime factorization of 5116 in exponential form is:
5116 = 22 × 12791
Now multiplying the highest exponent prime factors to calculate the LCM of 5099 and 5116.
LCM(5099,5116) = 50991 × 22 × 12791
LCM(5099,5116) = 26086484
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