What is the Least Common Multiple of 18285 and 18295?
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 18285 and 18295 is 66904815.
LCM(18285,18295) = 66904815
Least Common Multiple of 18285 and 18295 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18285 and 18295, than apply into the LCM equation.
GCF(18285,18295) = 5
LCM(18285,18295) = ( 18285 × 18295) / 5
LCM(18285,18295) = 334524075 / 5
LCM(18285,18295) = 66904815
Least Common Multiple (LCM) of 18285 and 18295 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18285 and 18295. First we will calculate the prime factors of 18285 and 18295.
Prime Factorization of 18285
Prime factors of 18285 are 3, 5, 23, 53. Prime factorization of 18285 in exponential form is:
18285 = 31 × 51 × 231 × 531
Prime Factorization of 18295
Prime factors of 18295 are 5, 3659. Prime factorization of 18295 in exponential form is:
18295 = 51 × 36591
Now multiplying the highest exponent prime factors to calculate the LCM of 18285 and 18295.
LCM(18285,18295) = 31 × 51 × 231 × 531 × 36591
LCM(18285,18295) = 66904815
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