Least Common Multiple of 4488 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 4488 and 4492 the smallest integer that is 5040024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4488 and 4492 is 5040024.

LCM(4488,4492) = 5040024

LCM of 4488 and 4492

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

LCM of:
and

Least Common Multiple of 4488 and 4492

LCM of 4488 and 4492 is 5040024

Least common multiple can be found by multiplying the highest exponent prime factors of 4488 and 4492. First we will calculate the prime factors of 4488 and 4492.

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 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 4488 and 4492.

LCM(4488,4492) = 23×31×111×171×11231
LCM(4488,4492) = 5040024

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 4492

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

1, 2, 4, 1123, 2246, 4492

Least Common Multiple of 4488 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 4488 and 4492, than apply into the LCM equation.

GCF(4488,4492) = 4
LCM(4488,4492) = ( 4488 × 4492) / 4
LCM(4488,4492) = 20160096 / 4
LCM(4488,4492) = 5040024

Properties of LCM 4488 and 4492

(i) The LCM of 4492 and 4488 is associative

LCM of 4488 and 4492 = LCM of 4492 and 4488

Related Least Common Multiples of 4488

Related Least Common Multiples of 4492

Frequently Asked Questions on LCM of 4488 and 4492

1. What is the LCM of 4488 and 4492?

Answer: LCM of 4488 and 4492 is 5040024.

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 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 4488 and 4492?

Answer:

Least Common Multiple of 4488 and 4492 = 5040024

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 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 = 5040024 = 2 x 2 x 2 x 3 x 11 x 17 x 1123

Step 4: Therefore, the least common multiple of 4488 and 4492 is 5040024.