Least Common Multiple of 8484 and 8492

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 8492 the smallest integer that is 18011532 that is divisible by both numbers.

Least Common Multiple (LCM) of 8484 and 8492 is 18011532.

LCM(8484,8492) = 18011532

LCM of 8484 and 8492

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

LCM of:
and

Least Common Multiple of 8484 and 8492

LCM of 8484 and 8492 is 18011532

Least common multiple can be found by multiplying the highest exponent prime factors of 8484 and 8492. First we will calculate the prime factors of 8484 and 8492.

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 8492


2 8492
2 4246
11 2123
193 193
1

Prime factors of 8492 are 2, 11,193. Prime factorization of 8492 in exponential form is:

8492 = 22×111×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 8484 and 8492.

LCM(8484,8492) = 22×31×71×111×1011×1931
LCM(8484,8492) = 18011532

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 8492

List of positive integer factors of 8492 that divides 8492 without a remainder.

1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492

Least Common Multiple of 8484 and 8492 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 8492, than apply into the LCM equation.

GCF(8484,8492) = 4
LCM(8484,8492) = ( 8484 × 8492) / 4
LCM(8484,8492) = 72046128 / 4
LCM(8484,8492) = 18011532

Properties of LCM 8484 and 8492

(i) The LCM of 8492 and 8484 is associative

LCM of 8484 and 8492 = LCM of 8492 and 8484

Related Least Common Multiples of 8484

Related Least Common Multiples of 8492

Frequently Asked Questions on LCM of 8484 and 8492

1. What is the LCM of 8484 and 8492?

Answer: LCM of 8484 and 8492 is 18011532.

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 8492?

Answer: Factors of 8492 are 1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492. There are 12 integers that are factors of 8492. The greatest factor of 8492 is 8492.

4. How to Find the LCM of 8484 and 8492?

Answer:

Least Common Multiple of 8484 and 8492 = 18011532

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 8492

8492 = 2 x 2 x 11 x 193

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

LCM = 18011532 = 2 x 2 x 3 x 7 x 11 x 101 x 193

Step 4: Therefore, the least common multiple of 8484 and 8492 is 18011532.