Least Common Multiple of 4488 and 4494

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 4494 the smallest integer that is 3361512 that is divisible by both numbers.

Least Common Multiple (LCM) of 4488 and 4494 is 3361512.

LCM(4488,4494) = 3361512

LCM of 4488 and 4494

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

LCM of:
and

Least Common Multiple of 4488 and 4494

LCM of 4488 and 4494 is 3361512

Least common multiple can be found by multiplying the highest exponent prime factors of 4488 and 4494. First we will calculate the prime factors of 4488 and 4494.

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 4494


2 4494
3 2247
7 749
107 107
1

Prime factors of 4494 are 2, 3, 7,107. Prime factorization of 4494 in exponential form is:

4494 = 21×31×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4488 and 4494.

LCM(4488,4494) = 23×31×71×111×171×1071
LCM(4488,4494) = 3361512

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 4494

List of positive integer factors of 4494 that divides 4494 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 107, 214, 321, 642, 749, 1498, 2247, 4494

Least Common Multiple of 4488 and 4494 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 4494, than apply into the LCM equation.

GCF(4488,4494) = 6
LCM(4488,4494) = ( 4488 × 4494) / 6
LCM(4488,4494) = 20169072 / 6
LCM(4488,4494) = 3361512

Properties of LCM 4488 and 4494

(i) The LCM of 4494 and 4488 is associative

LCM of 4488 and 4494 = LCM of 4494 and 4488

Related Least Common Multiples of 4488

Related Least Common Multiples of 4494

Frequently Asked Questions on LCM of 4488 and 4494

1. What is the LCM of 4488 and 4494?

Answer: LCM of 4488 and 4494 is 3361512.

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 4494?

Answer: Factors of 4494 are 1, 2, 3, 6, 7, 14, 21, 42, 107, 214, 321, 642, 749, 1498, 2247, 4494. There are 16 integers that are factors of 4494. The greatest factor of 4494 is 4494.

4. How to Find the LCM of 4488 and 4494?

Answer:

Least Common Multiple of 4488 and 4494 = 3361512

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 4494

4494 = 2 x 3 x 7 x 107

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

LCM = 3361512 = 2 x 2 x 2 x 3 x 7 x 11 x 17 x 107

Step 4: Therefore, the least common multiple of 4488 and 4494 is 3361512.