What is the Least Common Multiple of 5367 and 5383?
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 5367 and 5383 is 28890561.
LCM(5367,5383) = 28890561
Least Common Multiple of 5367 and 5383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5367 and 5383, than apply into the LCM equation.
GCF(5367,5383) = 1
LCM(5367,5383) = ( 5367 × 5383) / 1
LCM(5367,5383) = 28890561 / 1
LCM(5367,5383) = 28890561
Least Common Multiple (LCM) of 5367 and 5383 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5367 and 5383. First we will calculate the prime factors of 5367 and 5383.
Prime Factorization of 5367
Prime factors of 5367 are 3, 1789. Prime factorization of 5367 in exponential form is:
5367 = 31 × 17891
Prime Factorization of 5383
Prime factors of 5383 are 7, 769. Prime factorization of 5383 in exponential form is:
5383 = 71 × 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 5367 and 5383.
LCM(5367,5383) = 31 × 17891 × 71 × 7691
LCM(5367,5383) = 28890561
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