Least Common Multiple of 4540 and 4545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4540 and 4545 the smallest integer that is 4126860 that is divisible by both numbers.

Least Common Multiple (LCM) of 4540 and 4545 is 4126860.

LCM(4540,4545) = 4126860

LCM of 4540 and 4545

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

LCM of:
and

Least Common Multiple of 4540 and 4545

LCM of 4540 and 4545 is 4126860

Least common multiple can be found by multiplying the highest exponent prime factors of 4540 and 4545. First we will calculate the prime factors of 4540 and 4545.

Prime Factorization of 4540


2 4540
2 2270
5 1135
227 227
1

Prime factors of 4540 are 2, 5,227. Prime factorization of 4540 in exponential form is:

4540 = 22×51×2271

Prime Factorization of 4545


3 4545
3 1515
5 505
101 101
1

Prime factors of 4545 are 3, 5,101. Prime factorization of 4545 in exponential form is:

4545 = 32×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4540 and 4545.

LCM(4540,4545) = 22×32×51×1011×2271
LCM(4540,4545) = 4126860

Factors of 4540

List of positive integer factors of 4540 that divides 4540 without a remainder.

1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540

Factors of 4545

List of positive integer factors of 4545 that divides 4545 without a remainder.

1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545

Least Common Multiple of 4540 and 4545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4540 and 4545, than apply into the LCM equation.

GCF(4540,4545) = 5
LCM(4540,4545) = ( 4540 × 4545) / 5
LCM(4540,4545) = 20634300 / 5
LCM(4540,4545) = 4126860

Properties of LCM 4540 and 4545

(i) The LCM of 4545 and 4540 is associative

LCM of 4540 and 4545 = LCM of 4545 and 4540

Related Least Common Multiples of 4540

Related Least Common Multiples of 4545

Frequently Asked Questions on LCM of 4540 and 4545

1. What is the LCM of 4540 and 4545?

Answer: LCM of 4540 and 4545 is 4126860.

2. What are the Factors of 4540?

Answer: Factors of 4540 are 1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540. There are 12 integers that are factors of 4540. The greatest factor of 4540 is 4540.

3. What are the Factors of 4545?

Answer: Factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545. There are 12 integers that are factors of 4545. The greatest factor of 4545 is 4545.

4. How to Find the LCM of 4540 and 4545?

Answer:

Least Common Multiple of 4540 and 4545 = 4126860

Step 1: Find the prime factorization of 4540

4540 = 2 x 2 x 5 x 227

Step 2: Find the prime factorization of 4545

4545 = 3 x 3 x 5 x 101

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

LCM = 4126860 = 2 x 2 x 3 x 3 x 5 x 101 x 227

Step 4: Therefore, the least common multiple of 4540 and 4545 is 4126860.