Least Common Multiple of 4526 and 4532

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 4532 the smallest integer that is 10255916 that is divisible by both numbers.

Least Common Multiple (LCM) of 4526 and 4532 is 10255916.

LCM(4526,4532) = 10255916

LCM of 4526 and 4532

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

LCM of:
and

Least Common Multiple of 4526 and 4532

LCM of 4526 and 4532 is 10255916

Least common multiple can be found by multiplying the highest exponent prime factors of 4526 and 4532. First we will calculate the prime factors of 4526 and 4532.

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 4532


2 4532
2 2266
11 1133
103 103
1

Prime factors of 4532 are 2, 11,103. Prime factorization of 4532 in exponential form is:

4532 = 22×111×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4526 and 4532.

LCM(4526,4532) = 22×111×311×731×1031
LCM(4526,4532) = 10255916

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 4532

List of positive integer factors of 4532 that divides 4532 without a remainder.

1, 2, 4, 11, 22, 44, 103, 206, 412, 1133, 2266, 4532

Least Common Multiple of 4526 and 4532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4526 and 4532, than apply into the LCM equation.

GCF(4526,4532) = 2
LCM(4526,4532) = ( 4526 × 4532) / 2
LCM(4526,4532) = 20511832 / 2
LCM(4526,4532) = 10255916

Properties of LCM 4526 and 4532

(i) The LCM of 4532 and 4526 is associative

LCM of 4526 and 4532 = LCM of 4532 and 4526

Related Least Common Multiples of 4526

Related Least Common Multiples of 4532

Frequently Asked Questions on LCM of 4526 and 4532

1. What is the LCM of 4526 and 4532?

Answer: LCM of 4526 and 4532 is 10255916.

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 4532?

Answer: Factors of 4532 are 1, 2, 4, 11, 22, 44, 103, 206, 412, 1133, 2266, 4532. There are 12 integers that are factors of 4532. The greatest factor of 4532 is 4532.

4. How to Find the LCM of 4526 and 4532?

Answer:

Least Common Multiple of 4526 and 4532 = 10255916

Step 1: Find the prime factorization of 4526

4526 = 2 x 31 x 73

Step 2: Find the prime factorization of 4532

4532 = 2 x 2 x 11 x 103

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

LCM = 10255916 = 2 x 2 x 11 x 31 x 73 x 103

Step 4: Therefore, the least common multiple of 4526 and 4532 is 10255916.