Least Common Multiple of 4488 and 4489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4488 and 4489 the smallest integer that is 20146632 that is divisible by both numbers.

Least Common Multiple (LCM) of 4488 and 4489 is 20146632.

LCM(4488,4489) = 20146632

LCM of 4488 and 4489

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

LCM of:
and

Least Common Multiple of 4488 and 4489

LCM of 4488 and 4489 is 20146632

Least common multiple can be found by multiplying the highest exponent prime factors of 4488 and 4489. First we will calculate the prime factors of 4488 and 4489.

Prime Factorization of 4488


2 4488
2 2244
2 1122
3 561
11 187
17 17
1

Prime factors of 4488 are 2, 3, 11,17. Prime factorization of 4488 in exponential form is:

4488 = 23×31×111×171

Prime Factorization of 4489


67 4489
67 67
1

Prime factors of 4489 are 67. Prime factorization of 4489 in exponential form is:

4489 = 672

Now multiplying the highest exponent prime factors to calculate the LCM of 4488 and 4489.

LCM(4488,4489) = 23×31×111×171×672
LCM(4488,4489) = 20146632

Factors of 4488

List of positive integer factors of 4488 that divides 4488 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488

Factors of 4489

List of positive integer factors of 4489 that divides 4489 without a remainder.

1, 67, 4489

Least Common Multiple of 4488 and 4489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4488 and 4489, than apply into the LCM equation.

GCF(4488,4489) = 1
LCM(4488,4489) = ( 4488 × 4489) / 1
LCM(4488,4489) = 20146632 / 1
LCM(4488,4489) = 20146632

Properties of LCM 4488 and 4489

(i) The LCM of 4489 and 4488 is associative

LCM of 4488 and 4489 = LCM of 4489 and 4488

Related Least Common Multiples of 4488

Related Least Common Multiples of 4489

Frequently Asked Questions on LCM of 4488 and 4489

1. What is the LCM of 4488 and 4489?

Answer: LCM of 4488 and 4489 is 20146632.

2. What are the Factors of 4488?

Answer: Factors of 4488 are 1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488. There are 32 integers that are factors of 4488. The greatest factor of 4488 is 4488.

3. What are the Factors of 4489?

Answer: Factors of 4489 are 1, 67, 4489. There are 3 integers that are factors of 4489. The greatest factor of 4489 is 4489.

4. How to Find the LCM of 4488 and 4489?

Answer:

Least Common Multiple of 4488 and 4489 = 20146632

Step 1: Find the prime factorization of 4488

4488 = 2 x 2 x 2 x 3 x 11 x 17

Step 2: Find the prime factorization of 4489

4489 = 67 x 67

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

LCM = 20146632 = 2 x 2 x 2 x 3 x 11 x 17 x 67 x 67

Step 4: Therefore, the least common multiple of 4488 and 4489 is 20146632.