What is the Least Common Multiple of 5878 and 5894?
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 5878 and 5894 is 17322466.
LCM(5878,5894) = 17322466
Least Common Multiple of 5878 and 5894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5878 and 5894, than apply into the LCM equation.
GCF(5878,5894) = 2
LCM(5878,5894) = ( 5878 × 5894) / 2
LCM(5878,5894) = 34644932 / 2
LCM(5878,5894) = 17322466
Least Common Multiple (LCM) of 5878 and 5894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5878 and 5894. First we will calculate the prime factors of 5878 and 5894.
Prime Factorization of 5878
Prime factors of 5878 are 2, 2939. Prime factorization of 5878 in exponential form is:
5878 = 21 × 29391
Prime Factorization of 5894
Prime factors of 5894 are 2, 7, 421. Prime factorization of 5894 in exponential form is:
5894 = 21 × 71 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 5878 and 5894.
LCM(5878,5894) = 21 × 29391 × 71 × 4211
LCM(5878,5894) = 17322466
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