Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36026 and 36032 the smallest integer that is 649044416 that is divisible by both numbers.
Least Common Multiple (LCM) of 36026 and 36032 is 649044416.
LCM(36026,36032) = 649044416
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 36026 and 36032. First we will calculate the prime factors of 36026 and 36032.
Prime Factorization of 36026
2 | 36026 |
18013 | 18013 |
1 |
Prime factors of 36026 are 2,18013. Prime factorization of 36026 in exponential form is:
36026 = 21×180131
Prime Factorization of 36032
2 | 36032 |
2 | 18016 |
2 | 9008 |
2 | 4504 |
2 | 2252 |
2 | 1126 |
563 | 563 |
1 |
Prime factors of 36032 are 2,563. Prime factorization of 36032 in exponential form is:
36032 = 26×5631
Now multiplying the highest exponent prime factors to calculate the LCM of 36026 and 36032.
LCM(36026,36032) = 26×5631×180131
LCM(36026,36032) = 649044416
Factors of 36026
List of positive integer factors of 36026 that divides 36026 without a remainder.
1, 2, 18013, 36026
Factors of 36032
List of positive integer factors of 36032 that divides 36032 without a remainder.
1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36026 and 36032, than apply into the LCM equation.
GCF(36026,36032) = 2
LCM(36026,36032) = ( 36026 × 36032) / 2
LCM(36026,36032) = 1298088832 / 2
LCM(36026,36032) = 649044416
(i) The LCM of 36032 and 36026 is associative
LCM of 36026 and 36032 = LCM of 36032 and 36026
1. What is the LCM of 36026 and 36032?
Answer: LCM of 36026 and 36032 is 649044416.
2. What are the Factors of 36026?
Answer: Factors of 36026 are 1, 2, 18013, 36026. There are 4 integers that are factors of 36026. The greatest factor of 36026 is 36026.
3. What are the Factors of 36032?
Answer: Factors of 36032 are 1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032. There are 14 integers that are factors of 36032. The greatest factor of 36032 is 36032.
4. How to Find the LCM of 36026 and 36032?
Answer:
Least Common Multiple of 36026 and 36032 = 649044416
Step 1: Find the prime factorization of 36026
36026 = 2 x 18013
Step 2: Find the prime factorization of 36032
36032 = 2 x 2 x 2 x 2 x 2 x 2 x 563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 649044416 = 2 x 2 x 2 x 2 x 2 x 2 x 563 x 18013
Step 4: Therefore, the least common multiple of 36026 and 36032 is 649044416.