What is the Least Common Multiple of 5265 and 5285?
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 5265 and 5285 is 5565105.
LCM(5265,5285) = 5565105
Least Common Multiple of 5265 and 5285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5265 and 5285, than apply into the LCM equation.
GCF(5265,5285) = 5
LCM(5265,5285) = ( 5265 × 5285) / 5
LCM(5265,5285) = 27825525 / 5
LCM(5265,5285) = 5565105
Least Common Multiple (LCM) of 5265 and 5285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5265 and 5285. First we will calculate the prime factors of 5265 and 5285.
Prime Factorization of 5265
Prime factors of 5265 are 3, 5, 13. Prime factorization of 5265 in exponential form is:
5265 = 34 × 51 × 131
Prime Factorization of 5285
Prime factors of 5285 are 5, 7, 151. Prime factorization of 5285 in exponential form is:
5285 = 51 × 71 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 5265 and 5285.
LCM(5265,5285) = 34 × 51 × 131 × 71 × 1511
LCM(5265,5285) = 5565105
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