Least Common Multiple of 4489 and 4493

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 4493 the smallest integer that is 20169077 that is divisible by both numbers.

Least Common Multiple (LCM) of 4489 and 4493 is 20169077.

LCM(4489,4493) = 20169077

LCM of 4489 and 4493

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

LCM of:
and

Least Common Multiple of 4489 and 4493

LCM of 4489 and 4493 is 20169077

Least common multiple can be found by multiplying the highest exponent prime factors of 4489 and 4493. First we will calculate the prime factors of 4489 and 4493.

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 4493


4493 4493
1

Prime factors of 4493 are 4493. Prime factorization of 4493 in exponential form is:

4493 = 44931

Now multiplying the highest exponent prime factors to calculate the LCM of 4489 and 4493.

LCM(4489,4493) = 672×44931
LCM(4489,4493) = 20169077

Factors of 4489

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

1, 67, 4489

Factors of 4493

List of positive integer factors of 4493 that divides 4493 without a remainder.

1, 4493

Least Common Multiple of 4489 and 4493 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 4493, than apply into the LCM equation.

GCF(4489,4493) = 1
LCM(4489,4493) = ( 4489 × 4493) / 1
LCM(4489,4493) = 20169077 / 1
LCM(4489,4493) = 20169077

Properties of LCM 4489 and 4493

(i) The LCM of 4493 and 4489 is associative

LCM of 4489 and 4493 = LCM of 4493 and 4489

Related Least Common Multiples of 4489

Related Least Common Multiples of 4493

Frequently Asked Questions on LCM of 4489 and 4493

1. What is the LCM of 4489 and 4493?

Answer: LCM of 4489 and 4493 is 20169077.

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 4493?

Answer: Factors of 4493 are 1, 4493. There are 2 integers that are factors of 4493. The greatest factor of 4493 is 4493.

4. How to Find the LCM of 4489 and 4493?

Answer:

Least Common Multiple of 4489 and 4493 = 20169077

Step 1: Find the prime factorization of 4489

4489 = 67 x 67

Step 2: Find the prime factorization of 4493

4493 = 4493

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

LCM = 20169077 = 67 x 67 x 4493

Step 4: Therefore, the least common multiple of 4489 and 4493 is 20169077.