What is the Least Common Multiple of 5374 and 5392?
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 5374 and 5392 is 14488304.
LCM(5374,5392) = 14488304
Least Common Multiple of 5374 and 5392 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5374 and 5392, than apply into the LCM equation.
GCF(5374,5392) = 2
LCM(5374,5392) = ( 5374 × 5392) / 2
LCM(5374,5392) = 28976608 / 2
LCM(5374,5392) = 14488304
Least Common Multiple (LCM) of 5374 and 5392 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5374 and 5392. First we will calculate the prime factors of 5374 and 5392.
Prime Factorization of 5374
Prime factors of 5374 are 2, 2687. Prime factorization of 5374 in exponential form is:
5374 = 21 × 26871
Prime Factorization of 5392
Prime factors of 5392 are 2, 337. Prime factorization of 5392 in exponential form is:
5392 = 24 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 5374 and 5392.
LCM(5374,5392) = 24 × 26871 × 3371
LCM(5374,5392) = 14488304
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