Least Common Multiple of 8484 and 8488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8484 and 8488 the smallest integer that is 18003048 that is divisible by both numbers.

Least Common Multiple (LCM) of 8484 and 8488 is 18003048.

LCM(8484,8488) = 18003048

LCM of 8484 and 8488

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

LCM of:
and

Least Common Multiple of 8484 and 8488

LCM of 8484 and 8488 is 18003048

Least common multiple can be found by multiplying the highest exponent prime factors of 8484 and 8488. First we will calculate the prime factors of 8484 and 8488.

Prime Factorization of 8484


2 8484
2 4242
3 2121
7 707
101 101
1

Prime factors of 8484 are 2, 3, 7,101. Prime factorization of 8484 in exponential form is:

8484 = 22×31×71×1011

Prime Factorization of 8488


2 8488
2 4244
2 2122
1061 1061
1

Prime factors of 8488 are 2,1061. Prime factorization of 8488 in exponential form is:

8488 = 23×10611

Now multiplying the highest exponent prime factors to calculate the LCM of 8484 and 8488.

LCM(8484,8488) = 23×31×71×1011×10611
LCM(8484,8488) = 18003048

Factors of 8484

List of positive integer factors of 8484 that divides 8484 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484

Factors of 8488

List of positive integer factors of 8488 that divides 8488 without a remainder.

1, 2, 4, 8, 1061, 2122, 4244, 8488

Least Common Multiple of 8484 and 8488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8484 and 8488, than apply into the LCM equation.

GCF(8484,8488) = 4
LCM(8484,8488) = ( 8484 × 8488) / 4
LCM(8484,8488) = 72012192 / 4
LCM(8484,8488) = 18003048

Properties of LCM 8484 and 8488

(i) The LCM of 8488 and 8484 is associative

LCM of 8484 and 8488 = LCM of 8488 and 8484

Related Least Common Multiples of 8484

Related Least Common Multiples of 8488

Frequently Asked Questions on LCM of 8484 and 8488

1. What is the LCM of 8484 and 8488?

Answer: LCM of 8484 and 8488 is 18003048.

2. What are the Factors of 8484?

Answer: Factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484. There are 24 integers that are factors of 8484. The greatest factor of 8484 is 8484.

3. What are the Factors of 8488?

Answer: Factors of 8488 are 1, 2, 4, 8, 1061, 2122, 4244, 8488. There are 8 integers that are factors of 8488. The greatest factor of 8488 is 8488.

4. How to Find the LCM of 8484 and 8488?

Answer:

Least Common Multiple of 8484 and 8488 = 18003048

Step 1: Find the prime factorization of 8484

8484 = 2 x 2 x 3 x 7 x 101

Step 2: Find the prime factorization of 8488

8488 = 2 x 2 x 2 x 1061

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

LCM = 18003048 = 2 x 2 x 2 x 3 x 7 x 101 x 1061

Step 4: Therefore, the least common multiple of 8484 and 8488 is 18003048.