Least Common Multiple of 4522 and 4526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4522 and 4526 the smallest integer that is 10233286 that is divisible by both numbers.

Least Common Multiple (LCM) of 4522 and 4526 is 10233286.

LCM(4522,4526) = 10233286

LCM of 4522 and 4526

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4522 and 4526

LCM of 4522 and 4526 is 10233286

Least common multiple can be found by multiplying the highest exponent prime factors of 4522 and 4526. First we will calculate the prime factors of 4522 and 4526.

Prime Factorization of 4522


2 4522
7 2261
17 323
19 19
1

Prime factors of 4522 are 2, 7, 17,19. Prime factorization of 4522 in exponential form is:

4522 = 21×71×171×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4522 and 4526.

LCM(4522,4526) = 21×71×171×191×311×731
LCM(4522,4526) = 10233286

Factors of 4522

List of positive integer factors of 4522 that divides 4522 without a remainder.

1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522

Factors of 4526

List of positive integer factors of 4526 that divides 4526 without a remainder.

1, 2, 31, 62, 73, 146, 2263, 4526

Least Common Multiple of 4522 and 4526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4522 and 4526, than apply into the LCM equation.

GCF(4522,4526) = 2
LCM(4522,4526) = ( 4522 × 4526) / 2
LCM(4522,4526) = 20466572 / 2
LCM(4522,4526) = 10233286

Properties of LCM 4522 and 4526

(i) The LCM of 4526 and 4522 is associative

LCM of 4522 and 4526 = LCM of 4526 and 4522

Related Least Common Multiples of 4522

Related Least Common Multiples of 4526

Frequently Asked Questions on LCM of 4522 and 4526

1. What is the LCM of 4522 and 4526?

Answer: LCM of 4522 and 4526 is 10233286.

2. What are the Factors of 4522?

Answer: Factors of 4522 are 1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522. There are 16 integers that are factors of 4522. The greatest factor of 4522 is 4522.

3. 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.

4. How to Find the LCM of 4522 and 4526?

Answer:

Least Common Multiple of 4522 and 4526 = 10233286

Step 1: Find the prime factorization of 4522

4522 = 2 x 7 x 17 x 19

Step 2: Find the prime factorization of 4526

4526 = 2 x 31 x 73

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 10233286 = 2 x 7 x 17 x 19 x 31 x 73

Step 4: Therefore, the least common multiple of 4522 and 4526 is 10233286.