Least Common Multiple of 4529 and 4537

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 4537 the smallest integer that is 20548073 that is divisible by both numbers.

Least Common Multiple (LCM) of 4529 and 4537 is 20548073.

LCM(4529,4537) = 20548073

LCM of 4529 and 4537

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

LCM of:
and

Least Common Multiple of 4529 and 4537

LCM of 4529 and 4537 is 20548073

Least common multiple can be found by multiplying the highest exponent prime factors of 4529 and 4537. First we will calculate the prime factors of 4529 and 4537.

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 4537


13 4537
349 349
1

Prime factors of 4537 are 13,349. Prime factorization of 4537 in exponential form is:

4537 = 131×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 4529 and 4537.

LCM(4529,4537) = 71×131×3491×6471
LCM(4529,4537) = 20548073

Factors of 4529

List of positive integer factors of 4529 that divides 4529 without a remainder.

1, 7, 647, 4529

Factors of 4537

List of positive integer factors of 4537 that divides 4537 without a remainder.

1, 13, 349, 4537

Least Common Multiple of 4529 and 4537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4529 and 4537, than apply into the LCM equation.

GCF(4529,4537) = 1
LCM(4529,4537) = ( 4529 × 4537) / 1
LCM(4529,4537) = 20548073 / 1
LCM(4529,4537) = 20548073

Properties of LCM 4529 and 4537

(i) The LCM of 4537 and 4529 is associative

LCM of 4529 and 4537 = LCM of 4537 and 4529

Related Least Common Multiples of 4529

Related Least Common Multiples of 4537

Frequently Asked Questions on LCM of 4529 and 4537

1. What is the LCM of 4529 and 4537?

Answer: LCM of 4529 and 4537 is 20548073.

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 4537?

Answer: Factors of 4537 are 1, 13, 349, 4537. There are 4 integers that are factors of 4537. The greatest factor of 4537 is 4537.

4. How to Find the LCM of 4529 and 4537?

Answer:

Least Common Multiple of 4529 and 4537 = 20548073

Step 1: Find the prime factorization of 4529

4529 = 7 x 647

Step 2: Find the prime factorization of 4537

4537 = 13 x 349

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

LCM = 20548073 = 7 x 13 x 349 x 647

Step 4: Therefore, the least common multiple of 4529 and 4537 is 20548073.