Least Common Multiple of 4488 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 4488 and 4495 the smallest integer that is 20173560 that is divisible by both numbers.

Least Common Multiple (LCM) of 4488 and 4495 is 20173560.

LCM(4488,4495) = 20173560

LCM of 4488 and 4495

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

LCM of:
and

Least Common Multiple of 4488 and 4495

LCM of 4488 and 4495 is 20173560

Least common multiple can be found by multiplying the highest exponent prime factors of 4488 and 4495. First we will calculate the prime factors of 4488 and 4495.

Prime Factorization of 4488


2 4488
2 2244
2 1122
3 561
11 187
17 17
1

Prime factors of 4488 are 2, 3, 11,17. Prime factorization of 4488 in exponential form is:

4488 = 23×31×111×171

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 4488 and 4495.

LCM(4488,4495) = 23×31×51×111×171×291×311
LCM(4488,4495) = 20173560

Factors of 4488

List of positive integer factors of 4488 that divides 4488 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488

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 4488 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 4488 and 4495, than apply into the LCM equation.

GCF(4488,4495) = 1
LCM(4488,4495) = ( 4488 × 4495) / 1
LCM(4488,4495) = 20173560 / 1
LCM(4488,4495) = 20173560

Properties of LCM 4488 and 4495

(i) The LCM of 4495 and 4488 is associative

LCM of 4488 and 4495 = LCM of 4495 and 4488

Related Least Common Multiples of 4488

Related Least Common Multiples of 4495

Frequently Asked Questions on LCM of 4488 and 4495

1. What is the LCM of 4488 and 4495?

Answer: LCM of 4488 and 4495 is 20173560.

2. What are the Factors of 4488?

Answer: Factors of 4488 are 1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488. There are 32 integers that are factors of 4488. The greatest factor of 4488 is 4488.

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 4488 and 4495?

Answer:

Least Common Multiple of 4488 and 4495 = 20173560

Step 1: Find the prime factorization of 4488

4488 = 2 x 2 x 2 x 3 x 11 x 17

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 = 20173560 = 2 x 2 x 2 x 3 x 5 x 11 x 17 x 29 x 31

Step 4: Therefore, the least common multiple of 4488 and 4495 is 20173560.