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 4534 the smallest integer that is 20534486 that is divisible by both numbers.
Least Common Multiple (LCM) of 4529 and 4534 is 20534486.
LCM(4529,4534) = 20534486
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 4534. First we will calculate the prime factors of 4529 and 4534.
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 4534
2 | 4534 |
2267 | 2267 |
1 |
Prime factors of 4534 are 2,2267. Prime factorization of 4534 in exponential form is:
4534 = 21×22671
Now multiplying the highest exponent prime factors to calculate the LCM of 4529 and 4534.
LCM(4529,4534) = 21×71×6471×22671
LCM(4529,4534) = 20534486
Factors of 4529
List of positive integer factors of 4529 that divides 4529 without a remainder.
1, 7, 647, 4529
Factors of 4534
List of positive integer factors of 4534 that divides 4534 without a remainder.
1, 2, 2267, 4534
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4529 and 4534, than apply into the LCM equation.
GCF(4529,4534) = 1
LCM(4529,4534) = ( 4529 × 4534) / 1
LCM(4529,4534) = 20534486 / 1
LCM(4529,4534) = 20534486
(i) The LCM of 4534 and 4529 is associative
LCM of 4529 and 4534 = LCM of 4534 and 4529
1. What is the LCM of 4529 and 4534?
Answer: LCM of 4529 and 4534 is 20534486.
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 4534?
Answer: Factors of 4534 are 1, 2, 2267, 4534. There are 4 integers that are factors of 4534. The greatest factor of 4534 is 4534.
4. How to Find the LCM of 4529 and 4534?
Answer:
Least Common Multiple of 4529 and 4534 = 20534486
Step 1: Find the prime factorization of 4529
4529 = 7 x 647
Step 2: Find the prime factorization of 4534
4534 = 2 x 2267
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20534486 = 2 x 7 x 647 x 2267
Step 4: Therefore, the least common multiple of 4529 and 4534 is 20534486.