Least Common Multiple of 4513 and 4521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4513 and 4521 the smallest integer that is 20403273 that is divisible by both numbers.

Least Common Multiple (LCM) of 4513 and 4521 is 20403273.

LCM(4513,4521) = 20403273

LCM of 4513 and 4521

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

LCM of:
and

Least Common Multiple of 4513 and 4521

LCM of 4513 and 4521 is 20403273

Least common multiple can be found by multiplying the highest exponent prime factors of 4513 and 4521. First we will calculate the prime factors of 4513 and 4521.

Prime Factorization of 4513


4513 4513
1

Prime factors of 4513 are 4513. Prime factorization of 4513 in exponential form is:

4513 = 45131

Prime Factorization of 4521


3 4521
11 1507
137 137
1

Prime factors of 4521 are 3, 11,137. Prime factorization of 4521 in exponential form is:

4521 = 31×111×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4513 and 4521.

LCM(4513,4521) = 31×111×1371×45131
LCM(4513,4521) = 20403273

Factors of 4513

List of positive integer factors of 4513 that divides 4513 without a remainder.

1, 4513

Factors of 4521

List of positive integer factors of 4521 that divides 4521 without a remainder.

1, 3, 11, 33, 137, 411, 1507, 4521

Least Common Multiple of 4513 and 4521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4513 and 4521, than apply into the LCM equation.

GCF(4513,4521) = 1
LCM(4513,4521) = ( 4513 × 4521) / 1
LCM(4513,4521) = 20403273 / 1
LCM(4513,4521) = 20403273

Properties of LCM 4513 and 4521

(i) The LCM of 4521 and 4513 is associative

LCM of 4513 and 4521 = LCM of 4521 and 4513

Related Least Common Multiples of 4513

Related Least Common Multiples of 4521

Frequently Asked Questions on LCM of 4513 and 4521

1. What is the LCM of 4513 and 4521?

Answer: LCM of 4513 and 4521 is 20403273.

2. What are the Factors of 4513?

Answer: Factors of 4513 are 1, 4513. There are 2 integers that are factors of 4513. The greatest factor of 4513 is 4513.

3. What are the Factors of 4521?

Answer: Factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521. There are 8 integers that are factors of 4521. The greatest factor of 4521 is 4521.

4. How to Find the LCM of 4513 and 4521?

Answer:

Least Common Multiple of 4513 and 4521 = 20403273

Step 1: Find the prime factorization of 4513

4513 = 4513

Step 2: Find the prime factorization of 4521

4521 = 3 x 11 x 137

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

LCM = 20403273 = 3 x 11 x 137 x 4513

Step 4: Therefore, the least common multiple of 4513 and 4521 is 20403273.