What is the Least Common Multiple of 5078 and 5086?
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 5078 and 5086 is 12913354.
LCM(5078,5086) = 12913354
Least Common Multiple of 5078 and 5086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5078 and 5086, than apply into the LCM equation.
GCF(5078,5086) = 2
LCM(5078,5086) = ( 5078 × 5086) / 2
LCM(5078,5086) = 25826708 / 2
LCM(5078,5086) = 12913354
Least Common Multiple (LCM) of 5078 and 5086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5078 and 5086. First we will calculate the prime factors of 5078 and 5086.
Prime Factorization of 5078
Prime factors of 5078 are 2, 2539. Prime factorization of 5078 in exponential form is:
5078 = 21 × 25391
Prime Factorization of 5086
Prime factors of 5086 are 2, 2543. Prime factorization of 5086 in exponential form is:
5086 = 21 × 25431
Now multiplying the highest exponent prime factors to calculate the LCM of 5078 and 5086.
LCM(5078,5086) = 21 × 25391 × 25431
LCM(5078,5086) = 12913354
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