Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8595 and 8600 the smallest integer that is 14783400 that is divisible by both numbers.
Least Common Multiple (LCM) of 8595 and 8600 is 14783400.
LCM(8595,8600) = 14783400
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8595 and 8600. First we will calculate the prime factors of 8595 and 8600.
Prime Factorization of 8595
3 | 8595 |
3 | 2865 |
5 | 955 |
191 | 191 |
1 |
Prime factors of 8595 are 3, 5,191. Prime factorization of 8595 in exponential form is:
8595 = 32×51×1911
Prime Factorization of 8600
2 | 8600 |
2 | 4300 |
2 | 2150 |
5 | 1075 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 8600 are 2, 5,43. Prime factorization of 8600 in exponential form is:
8600 = 23×52×431
Now multiplying the highest exponent prime factors to calculate the LCM of 8595 and 8600.
LCM(8595,8600) = 23×32×52×431×1911
LCM(8595,8600) = 14783400
Factors of 8595
List of positive integer factors of 8595 that divides 8595 without a remainder.
1, 3, 5, 9, 15, 45, 191, 573, 955, 1719, 2865, 8595
Factors of 8600
List of positive integer factors of 8600 that divides 8600 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8595 and 8600, than apply into the LCM equation.
GCF(8595,8600) = 5
LCM(8595,8600) = ( 8595 × 8600) / 5
LCM(8595,8600) = 73917000 / 5
LCM(8595,8600) = 14783400
(i) The LCM of 8600 and 8595 is associative
LCM of 8595 and 8600 = LCM of 8600 and 8595
1. What is the LCM of 8595 and 8600?
Answer: LCM of 8595 and 8600 is 14783400.
2. What are the Factors of 8595?
Answer: Factors of 8595 are 1, 3, 5, 9, 15, 45, 191, 573, 955, 1719, 2865, 8595. There are 12 integers that are factors of 8595. The greatest factor of 8595 is 8595.
3. What are the Factors of 8600?
Answer: Factors of 8600 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600. There are 24 integers that are factors of 8600. The greatest factor of 8600 is 8600.
4. How to Find the LCM of 8595 and 8600?
Answer:
Least Common Multiple of 8595 and 8600 = 14783400
Step 1: Find the prime factorization of 8595
8595 = 3 x 3 x 5 x 191
Step 2: Find the prime factorization of 8600
8600 = 2 x 2 x 2 x 5 x 5 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14783400 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 43 x 191
Step 4: Therefore, the least common multiple of 8595 and 8600 is 14783400.