Least Common Multiple of 4545 and 4549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4545 and 4549 the smallest integer that is 20675205 that is divisible by both numbers.

Least Common Multiple (LCM) of 4545 and 4549 is 20675205.

LCM(4545,4549) = 20675205

LCM of 4545 and 4549

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

LCM of:
and

Least Common Multiple of 4545 and 4549

LCM of 4545 and 4549 is 20675205

Least common multiple can be found by multiplying the highest exponent prime factors of 4545 and 4549. First we will calculate the prime factors of 4545 and 4549.

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

Prime Factorization of 4549


4549 4549
1

Prime factors of 4549 are 4549. Prime factorization of 4549 in exponential form is:

4549 = 45491

Now multiplying the highest exponent prime factors to calculate the LCM of 4545 and 4549.

LCM(4545,4549) = 32×51×1011×45491
LCM(4545,4549) = 20675205

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

Factors of 4549

List of positive integer factors of 4549 that divides 4549 without a remainder.

1, 4549

Least Common Multiple of 4545 and 4549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4545 and 4549, than apply into the LCM equation.

GCF(4545,4549) = 1
LCM(4545,4549) = ( 4545 × 4549) / 1
LCM(4545,4549) = 20675205 / 1
LCM(4545,4549) = 20675205

Properties of LCM 4545 and 4549

(i) The LCM of 4549 and 4545 is associative

LCM of 4545 and 4549 = LCM of 4549 and 4545

Related Least Common Multiples of 4545

Related Least Common Multiples of 4549

Frequently Asked Questions on LCM of 4545 and 4549

1. What is the LCM of 4545 and 4549?

Answer: LCM of 4545 and 4549 is 20675205.

2. 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.

3. What are the Factors of 4549?

Answer: Factors of 4549 are 1, 4549. There are 2 integers that are factors of 4549. The greatest factor of 4549 is 4549.

4. How to Find the LCM of 4545 and 4549?

Answer:

Least Common Multiple of 4545 and 4549 = 20675205

Step 1: Find the prime factorization of 4545

4545 = 3 x 3 x 5 x 101

Step 2: Find the prime factorization of 4549

4549 = 4549

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

LCM = 20675205 = 3 x 3 x 5 x 101 x 4549

Step 4: Therefore, the least common multiple of 4545 and 4549 is 20675205.