Least Common Multiple of 4525 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 4525 and 4532 the smallest integer that is 20507300 that is divisible by both numbers.

Least Common Multiple (LCM) of 4525 and 4532 is 20507300.

LCM(4525,4532) = 20507300

LCM of 4525 and 4532

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

LCM of:
and

Least Common Multiple of 4525 and 4532

LCM of 4525 and 4532 is 20507300

Least common multiple can be found by multiplying the highest exponent prime factors of 4525 and 4532. First we will calculate the prime factors of 4525 and 4532.

Prime Factorization of 4525


5 4525
5 905
181 181
1

Prime factors of 4525 are 5,181. Prime factorization of 4525 in exponential form is:

4525 = 52×1811

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 4525 and 4532.

LCM(4525,4532) = 22×52×111×1031×1811
LCM(4525,4532) = 20507300

Factors of 4525

List of positive integer factors of 4525 that divides 4525 without a remainder.

1, 5, 25, 181, 905, 4525

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 4525 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 4525 and 4532, than apply into the LCM equation.

GCF(4525,4532) = 1
LCM(4525,4532) = ( 4525 × 4532) / 1
LCM(4525,4532) = 20507300 / 1
LCM(4525,4532) = 20507300

Properties of LCM 4525 and 4532

(i) The LCM of 4532 and 4525 is associative

LCM of 4525 and 4532 = LCM of 4532 and 4525

Related Least Common Multiples of 4525

Related Least Common Multiples of 4532

Frequently Asked Questions on LCM of 4525 and 4532

1. What is the LCM of 4525 and 4532?

Answer: LCM of 4525 and 4532 is 20507300.

2. What are the Factors of 4525?

Answer: Factors of 4525 are 1, 5, 25, 181, 905, 4525. There are 6 integers that are factors of 4525. The greatest factor of 4525 is 4525.

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 4525 and 4532?

Answer:

Least Common Multiple of 4525 and 4532 = 20507300

Step 1: Find the prime factorization of 4525

4525 = 5 x 5 x 181

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 = 20507300 = 2 x 2 x 5 x 5 x 11 x 103 x 181

Step 4: Therefore, the least common multiple of 4525 and 4532 is 20507300.