What is the Least Common Multiple of 5468 and 5486?
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 5468 and 5486 is 14998724.
LCM(5468,5486) = 14998724
Least Common Multiple of 5468 and 5486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5468 and 5486, than apply into the LCM equation.
GCF(5468,5486) = 2
LCM(5468,5486) = ( 5468 × 5486) / 2
LCM(5468,5486) = 29997448 / 2
LCM(5468,5486) = 14998724
Least Common Multiple (LCM) of 5468 and 5486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5468 and 5486. First we will calculate the prime factors of 5468 and 5486.
Prime Factorization of 5468
Prime factors of 5468 are 2, 1367. Prime factorization of 5468 in exponential form is:
5468 = 22 × 13671
Prime Factorization of 5486
Prime factors of 5486 are 2, 13, 211. Prime factorization of 5486 in exponential form is:
5486 = 21 × 131 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 5468 and 5486.
LCM(5468,5486) = 22 × 13671 × 131 × 2111
LCM(5468,5486) = 14998724
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