Least Common Multiple of 4489 and 4494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4489 and 4494 the smallest integer that is 20173566 that is divisible by both numbers.

Least Common Multiple (LCM) of 4489 and 4494 is 20173566.

LCM(4489,4494) = 20173566

LCM of 4489 and 4494

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

LCM of:
and

Least Common Multiple of 4489 and 4494

LCM of 4489 and 4494 is 20173566

Least common multiple can be found by multiplying the highest exponent prime factors of 4489 and 4494. First we will calculate the prime factors of 4489 and 4494.

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

Prime Factorization of 4494


2 4494
3 2247
7 749
107 107
1

Prime factors of 4494 are 2, 3, 7,107. Prime factorization of 4494 in exponential form is:

4494 = 21×31×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4489 and 4494.

LCM(4489,4494) = 21×31×71×672×1071
LCM(4489,4494) = 20173566

Factors of 4489

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

1, 67, 4489

Factors of 4494

List of positive integer factors of 4494 that divides 4494 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 107, 214, 321, 642, 749, 1498, 2247, 4494

Least Common Multiple of 4489 and 4494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4489 and 4494, than apply into the LCM equation.

GCF(4489,4494) = 1
LCM(4489,4494) = ( 4489 × 4494) / 1
LCM(4489,4494) = 20173566 / 1
LCM(4489,4494) = 20173566

Properties of LCM 4489 and 4494

(i) The LCM of 4494 and 4489 is associative

LCM of 4489 and 4494 = LCM of 4494 and 4489

Related Least Common Multiples of 4489

Related Least Common Multiples of 4494

Frequently Asked Questions on LCM of 4489 and 4494

1. What is the LCM of 4489 and 4494?

Answer: LCM of 4489 and 4494 is 20173566.

2. 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.

3. What are the Factors of 4494?

Answer: Factors of 4494 are 1, 2, 3, 6, 7, 14, 21, 42, 107, 214, 321, 642, 749, 1498, 2247, 4494. There are 16 integers that are factors of 4494. The greatest factor of 4494 is 4494.

4. How to Find the LCM of 4489 and 4494?

Answer:

Least Common Multiple of 4489 and 4494 = 20173566

Step 1: Find the prime factorization of 4489

4489 = 67 x 67

Step 2: Find the prime factorization of 4494

4494 = 2 x 3 x 7 x 107

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

LCM = 20173566 = 2 x 3 x 7 x 67 x 67 x 107

Step 4: Therefore, the least common multiple of 4489 and 4494 is 20173566.