Least Common Multiple of 4545 and 4547

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 4547 the smallest integer that is 20666115 that is divisible by both numbers.

Least Common Multiple (LCM) of 4545 and 4547 is 20666115.

LCM(4545,4547) = 20666115

LCM of 4545 and 4547

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

LCM of:
and

Least Common Multiple of 4545 and 4547

LCM of 4545 and 4547 is 20666115

Least common multiple can be found by multiplying the highest exponent prime factors of 4545 and 4547. First we will calculate the prime factors of 4545 and 4547.

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 4547


4547 4547
1

Prime factors of 4547 are 4547. Prime factorization of 4547 in exponential form is:

4547 = 45471

Now multiplying the highest exponent prime factors to calculate the LCM of 4545 and 4547.

LCM(4545,4547) = 32×51×1011×45471
LCM(4545,4547) = 20666115

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 4547

List of positive integer factors of 4547 that divides 4547 without a remainder.

1, 4547

Least Common Multiple of 4545 and 4547 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 4547, than apply into the LCM equation.

GCF(4545,4547) = 1
LCM(4545,4547) = ( 4545 × 4547) / 1
LCM(4545,4547) = 20666115 / 1
LCM(4545,4547) = 20666115

Properties of LCM 4545 and 4547

(i) The LCM of 4547 and 4545 is associative

LCM of 4545 and 4547 = LCM of 4547 and 4545

Related Least Common Multiples of 4545

Related Least Common Multiples of 4547

Frequently Asked Questions on LCM of 4545 and 4547

1. What is the LCM of 4545 and 4547?

Answer: LCM of 4545 and 4547 is 20666115.

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 4547?

Answer: Factors of 4547 are 1, 4547. There are 2 integers that are factors of 4547. The greatest factor of 4547 is 4547.

4. How to Find the LCM of 4545 and 4547?

Answer:

Least Common Multiple of 4545 and 4547 = 20666115

Step 1: Find the prime factorization of 4545

4545 = 3 x 3 x 5 x 101

Step 2: Find the prime factorization of 4547

4547 = 4547

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

LCM = 20666115 = 3 x 3 x 5 x 101 x 4547

Step 4: Therefore, the least common multiple of 4545 and 4547 is 20666115.