What is the Least Common Multiple of 5365 and 5385?
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 5385 is 5778105.
LCM(5365,5385) = 5778105
Least Common Multiple of 5365 and 5385 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 5385, than apply into the LCM equation.
GCF(5365,5385) = 5
LCM(5365,5385) = ( 5365 × 5385) / 5
LCM(5365,5385) = 28890525 / 5
LCM(5365,5385) = 5778105
Least Common Multiple (LCM) of 5365 and 5385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5365 and 5385. First we will calculate the prime factors of 5365 and 5385.
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 5385
Prime factors of 5385 are 3, 5, 359. Prime factorization of 5385 in exponential form is:
5385 = 31 × 51 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 5365 and 5385.
LCM(5365,5385) = 51 × 291 × 371 × 31 × 3591
LCM(5365,5385) = 5778105
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