What is the Least Common Multiple of 5365 and 5376?
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 5365 and 5376 is 28842240.
LCM(5365,5376) = 28842240
Least Common Multiple of 5365 and 5376 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5365 and 5376, than apply into the LCM equation.
GCF(5365,5376) = 1
LCM(5365,5376) = ( 5365 × 5376) / 1
LCM(5365,5376) = 28842240 / 1
LCM(5365,5376) = 28842240
Least Common Multiple (LCM) of 5365 and 5376 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5365 and 5376. First we will calculate the prime factors of 5365 and 5376.
Prime Factorization of 5365
Prime factors of 5365 are 5, 29, 37. Prime factorization of 5365 in exponential form is:
5365 = 51 × 291 × 371
Prime Factorization of 5376
Prime factors of 5376 are 2, 3, 7. Prime factorization of 5376 in exponential form is:
5376 = 28 × 31 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 5365 and 5376.
LCM(5365,5376) = 51 × 291 × 371 × 28 × 31 × 71
LCM(5365,5376) = 28842240
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