Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4526 and 4530 the smallest integer that is 10251390 that is divisible by both numbers.
Least Common Multiple (LCM) of 4526 and 4530 is 10251390.
LCM(4526,4530) = 10251390
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 4526 and 4530. First we will calculate the prime factors of 4526 and 4530.
Prime Factorization of 4526
2 | 4526 |
31 | 2263 |
73 | 73 |
1 |
Prime factors of 4526 are 2, 31,73. Prime factorization of 4526 in exponential form is:
4526 = 21×311×731
Prime Factorization of 4530
2 | 4530 |
3 | 2265 |
5 | 755 |
151 | 151 |
1 |
Prime factors of 4530 are 2, 3, 5,151. Prime factorization of 4530 in exponential form is:
4530 = 21×31×51×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 4526 and 4530.
LCM(4526,4530) = 21×31×51×311×731×1511
LCM(4526,4530) = 10251390
Factors of 4526
List of positive integer factors of 4526 that divides 4526 without a remainder.
1, 2, 31, 62, 73, 146, 2263, 4526
Factors of 4530
List of positive integer factors of 4530 that divides 4530 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4526 and 4530, than apply into the LCM equation.
GCF(4526,4530) = 2
LCM(4526,4530) = ( 4526 × 4530) / 2
LCM(4526,4530) = 20502780 / 2
LCM(4526,4530) = 10251390
(i) The LCM of 4530 and 4526 is associative
LCM of 4526 and 4530 = LCM of 4530 and 4526
1. What is the LCM of 4526 and 4530?
Answer: LCM of 4526 and 4530 is 10251390.
2. What are the Factors of 4526?
Answer: Factors of 4526 are 1, 2, 31, 62, 73, 146, 2263, 4526. There are 8 integers that are factors of 4526. The greatest factor of 4526 is 4526.
3. What are the Factors of 4530?
Answer: Factors of 4530 are 1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530. There are 16 integers that are factors of 4530. The greatest factor of 4530 is 4530.
4. How to Find the LCM of 4526 and 4530?
Answer:
Least Common Multiple of 4526 and 4530 = 10251390
Step 1: Find the prime factorization of 4526
4526 = 2 x 31 x 73
Step 2: Find the prime factorization of 4530
4530 = 2 x 3 x 5 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10251390 = 2 x 3 x 5 x 31 x 73 x 151
Step 4: Therefore, the least common multiple of 4526 and 4530 is 10251390.