Least Common Multiple of 4489 and 4495

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 4495 the smallest integer that is 20178055 that is divisible by both numbers.

Least Common Multiple (LCM) of 4489 and 4495 is 20178055.

LCM(4489,4495) = 20178055

LCM of 4489 and 4495

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

LCM of:
and

Least Common Multiple of 4489 and 4495

LCM of 4489 and 4495 is 20178055

Least common multiple can be found by multiplying the highest exponent prime factors of 4489 and 4495. First we will calculate the prime factors of 4489 and 4495.

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 4495


5 4495
29 899
31 31
1

Prime factors of 4495 are 5, 29,31. Prime factorization of 4495 in exponential form is:

4495 = 51×291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4489 and 4495.

LCM(4489,4495) = 51×291×311×672
LCM(4489,4495) = 20178055

Factors of 4489

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

1, 67, 4489

Factors of 4495

List of positive integer factors of 4495 that divides 4495 without a remainder.

1, 5, 29, 31, 145, 155, 899, 4495

Least Common Multiple of 4489 and 4495 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 4495, than apply into the LCM equation.

GCF(4489,4495) = 1
LCM(4489,4495) = ( 4489 × 4495) / 1
LCM(4489,4495) = 20178055 / 1
LCM(4489,4495) = 20178055

Properties of LCM 4489 and 4495

(i) The LCM of 4495 and 4489 is associative

LCM of 4489 and 4495 = LCM of 4495 and 4489

Related Least Common Multiples of 4489

Related Least Common Multiples of 4495

Frequently Asked Questions on LCM of 4489 and 4495

1. What is the LCM of 4489 and 4495?

Answer: LCM of 4489 and 4495 is 20178055.

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 4495?

Answer: Factors of 4495 are 1, 5, 29, 31, 145, 155, 899, 4495. There are 8 integers that are factors of 4495. The greatest factor of 4495 is 4495.

4. How to Find the LCM of 4489 and 4495?

Answer:

Least Common Multiple of 4489 and 4495 = 20178055

Step 1: Find the prime factorization of 4489

4489 = 67 x 67

Step 2: Find the prime factorization of 4495

4495 = 5 x 29 x 31

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

LCM = 20178055 = 5 x 29 x 31 x 67 x 67

Step 4: Therefore, the least common multiple of 4489 and 4495 is 20178055.