What is the Least Common Multiple of 5348 and 5367?
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 5348 and 5367 is 28702716.
LCM(5348,5367) = 28702716
Least Common Multiple of 5348 and 5367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5348 and 5367, than apply into the LCM equation.
GCF(5348,5367) = 1
LCM(5348,5367) = ( 5348 × 5367) / 1
LCM(5348,5367) = 28702716 / 1
LCM(5348,5367) = 28702716
Least Common Multiple (LCM) of 5348 and 5367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5348 and 5367. First we will calculate the prime factors of 5348 and 5367.
Prime Factorization of 5348
Prime factors of 5348 are 2, 7, 191. Prime factorization of 5348 in exponential form is:
5348 = 22 × 71 × 1911
Prime Factorization of 5367
Prime factors of 5367 are 3, 1789. Prime factorization of 5367 in exponential form is:
5367 = 31 × 17891
Now multiplying the highest exponent prime factors to calculate the LCM of 5348 and 5367.
LCM(5348,5367) = 22 × 71 × 1911 × 31 × 17891
LCM(5348,5367) = 28702716
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