Least Common Multiple of 4489 and 4492

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 4492 the smallest integer that is 20164588 that is divisible by both numbers.

Least Common Multiple (LCM) of 4489 and 4492 is 20164588.

LCM(4489,4492) = 20164588

LCM of 4489 and 4492

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

LCM of:
and

Least Common Multiple of 4489 and 4492

LCM of 4489 and 4492 is 20164588

Least common multiple can be found by multiplying the highest exponent prime factors of 4489 and 4492. First we will calculate the prime factors of 4489 and 4492.

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 4492


2 4492
2 2246
1123 1123
1

Prime factors of 4492 are 2,1123. Prime factorization of 4492 in exponential form is:

4492 = 22×11231

Now multiplying the highest exponent prime factors to calculate the LCM of 4489 and 4492.

LCM(4489,4492) = 22×672×11231
LCM(4489,4492) = 20164588

Factors of 4489

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

1, 67, 4489

Factors of 4492

List of positive integer factors of 4492 that divides 4492 without a remainder.

1, 2, 4, 1123, 2246, 4492

Least Common Multiple of 4489 and 4492 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 4492, than apply into the LCM equation.

GCF(4489,4492) = 1
LCM(4489,4492) = ( 4489 × 4492) / 1
LCM(4489,4492) = 20164588 / 1
LCM(4489,4492) = 20164588

Properties of LCM 4489 and 4492

(i) The LCM of 4492 and 4489 is associative

LCM of 4489 and 4492 = LCM of 4492 and 4489

Related Least Common Multiples of 4489

Related Least Common Multiples of 4492

Frequently Asked Questions on LCM of 4489 and 4492

1. What is the LCM of 4489 and 4492?

Answer: LCM of 4489 and 4492 is 20164588.

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 4492?

Answer: Factors of 4492 are 1, 2, 4, 1123, 2246, 4492. There are 6 integers that are factors of 4492. The greatest factor of 4492 is 4492.

4. How to Find the LCM of 4489 and 4492?

Answer:

Least Common Multiple of 4489 and 4492 = 20164588

Step 1: Find the prime factorization of 4489

4489 = 67 x 67

Step 2: Find the prime factorization of 4492

4492 = 2 x 2 x 1123

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

LCM = 20164588 = 2 x 2 x 67 x 67 x 1123

Step 4: Therefore, the least common multiple of 4489 and 4492 is 20164588.