What is the Least Common Multiple of 35565 and 35575?
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 35565 and 35575 is 253044975.
LCM(35565,35575) = 253044975
Least Common Multiple of 35565 and 35575 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35565 and 35575, than apply into the LCM equation.
GCF(35565,35575) = 5
LCM(35565,35575) = ( 35565 × 35575) / 5
LCM(35565,35575) = 1265224875 / 5
LCM(35565,35575) = 253044975
Least Common Multiple (LCM) of 35565 and 35575 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35565 and 35575. First we will calculate the prime factors of 35565 and 35575.
Prime Factorization of 35565
Prime factors of 35565 are 3, 5, 2371. Prime factorization of 35565 in exponential form is:
35565 = 31 × 51 × 23711
Prime Factorization of 35575
Prime factors of 35575 are 5, 1423. Prime factorization of 35575 in exponential form is:
35575 = 52 × 14231
Now multiplying the highest exponent prime factors to calculate the LCM of 35565 and 35575.
LCM(35565,35575) = 31 × 52 × 23711 × 14231
LCM(35565,35575) = 253044975
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