Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4529 and 4536 the smallest integer that is 2934792 that is divisible by both numbers.
Least Common Multiple (LCM) of 4529 and 4536 is 2934792.
LCM(4529,4536) = 2934792
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 4529 and 4536. First we will calculate the prime factors of 4529 and 4536.
Prime Factorization of 4529
7 | 4529 |
647 | 647 |
1 |
Prime factors of 4529 are 7,647. Prime factorization of 4529 in exponential form is:
4529 = 71×6471
Prime Factorization of 4536
2 | 4536 |
2 | 2268 |
2 | 1134 |
3 | 567 |
3 | 189 |
3 | 63 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 4536 are 2, 3,7. Prime factorization of 4536 in exponential form is:
4536 = 23×34×71
Now multiplying the highest exponent prime factors to calculate the LCM of 4529 and 4536.
LCM(4529,4536) = 23×34×71×6471
LCM(4529,4536) = 2934792
Factors of 4529
List of positive integer factors of 4529 that divides 4529 without a remainder.
1, 7, 647, 4529
Factors of 4536
List of positive integer factors of 4536 that divides 4536 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4529 and 4536, than apply into the LCM equation.
GCF(4529,4536) = 7
LCM(4529,4536) = ( 4529 × 4536) / 7
LCM(4529,4536) = 20543544 / 7
LCM(4529,4536) = 2934792
(i) The LCM of 4536 and 4529 is associative
LCM of 4529 and 4536 = LCM of 4536 and 4529
1. What is the LCM of 4529 and 4536?
Answer: LCM of 4529 and 4536 is 2934792.
2. What are the Factors of 4529?
Answer: Factors of 4529 are 1, 7, 647, 4529. There are 4 integers that are factors of 4529. The greatest factor of 4529 is 4529.
3. What are the Factors of 4536?
Answer: Factors of 4536 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536. There are 40 integers that are factors of 4536. The greatest factor of 4536 is 4536.
4. How to Find the LCM of 4529 and 4536?
Answer:
Least Common Multiple of 4529 and 4536 = 2934792
Step 1: Find the prime factorization of 4529
4529 = 7 x 647
Step 2: Find the prime factorization of 4536
4536 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2934792 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 647
Step 4: Therefore, the least common multiple of 4529 and 4536 is 2934792.