Least Common Multiple of 4490 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 4490 and 4495 the smallest integer that is 4036510 that is divisible by both numbers.

Least Common Multiple (LCM) of 4490 and 4495 is 4036510.

LCM(4490,4495) = 4036510

LCM of 4490 and 4495

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

LCM of:
and

Least Common Multiple of 4490 and 4495

LCM of 4490 and 4495 is 4036510

Least common multiple can be found by multiplying the highest exponent prime factors of 4490 and 4495. First we will calculate the prime factors of 4490 and 4495.

Prime Factorization of 4490


2 4490
5 2245
449 449
1

Prime factors of 4490 are 2, 5,449. Prime factorization of 4490 in exponential form is:

4490 = 21×51×4491

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 4490 and 4495.

LCM(4490,4495) = 21×51×291×311×4491
LCM(4490,4495) = 4036510

Factors of 4490

List of positive integer factors of 4490 that divides 4490 without a remainder.

1, 2, 5, 10, 449, 898, 2245, 4490

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 4490 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 4490 and 4495, than apply into the LCM equation.

GCF(4490,4495) = 5
LCM(4490,4495) = ( 4490 × 4495) / 5
LCM(4490,4495) = 20182550 / 5
LCM(4490,4495) = 4036510

Properties of LCM 4490 and 4495

(i) The LCM of 4495 and 4490 is associative

LCM of 4490 and 4495 = LCM of 4495 and 4490

Related Least Common Multiples of 4490

Related Least Common Multiples of 4495

Frequently Asked Questions on LCM of 4490 and 4495

1. What is the LCM of 4490 and 4495?

Answer: LCM of 4490 and 4495 is 4036510.

2. What are the Factors of 4490?

Answer: Factors of 4490 are 1, 2, 5, 10, 449, 898, 2245, 4490. There are 8 integers that are factors of 4490. The greatest factor of 4490 is 4490.

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 4490 and 4495?

Answer:

Least Common Multiple of 4490 and 4495 = 4036510

Step 1: Find the prime factorization of 4490

4490 = 2 x 5 x 449

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 = 4036510 = 2 x 5 x 29 x 31 x 449

Step 4: Therefore, the least common multiple of 4490 and 4495 is 4036510.