Least Common Multiple of 9484 and 9492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9484 and 9492 the smallest integer that is 22505532 that is divisible by both numbers.

Least Common Multiple (LCM) of 9484 and 9492 is 22505532.

LCM(9484,9492) = 22505532

LCM of 9484 and 9492

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

LCM of:
and

Least Common Multiple of 9484 and 9492

LCM of 9484 and 9492 is 22505532

Least common multiple can be found by multiplying the highest exponent prime factors of 9484 and 9492. First we will calculate the prime factors of 9484 and 9492.

Prime Factorization of 9484


2 9484
2 4742
2371 2371
1

Prime factors of 9484 are 2,2371. Prime factorization of 9484 in exponential form is:

9484 = 22×23711

Prime Factorization of 9492


2 9492
2 4746
3 2373
7 791
113 113
1

Prime factors of 9492 are 2, 3, 7,113. Prime factorization of 9492 in exponential form is:

9492 = 22×31×71×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 9484 and 9492.

LCM(9484,9492) = 22×31×71×1131×23711
LCM(9484,9492) = 22505532

Factors of 9484

List of positive integer factors of 9484 that divides 9484 without a remainder.

1, 2, 4, 2371, 4742, 9484

Factors of 9492

List of positive integer factors of 9492 that divides 9492 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492

Least Common Multiple of 9484 and 9492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9484 and 9492, than apply into the LCM equation.

GCF(9484,9492) = 4
LCM(9484,9492) = ( 9484 × 9492) / 4
LCM(9484,9492) = 90022128 / 4
LCM(9484,9492) = 22505532

Properties of LCM 9484 and 9492

(i) The LCM of 9492 and 9484 is associative

LCM of 9484 and 9492 = LCM of 9492 and 9484

Related Least Common Multiples of 9484

Related Least Common Multiples of 9492

Frequently Asked Questions on LCM of 9484 and 9492

1. What is the LCM of 9484 and 9492?

Answer: LCM of 9484 and 9492 is 22505532.

2. What are the Factors of 9484?

Answer: Factors of 9484 are 1, 2, 4, 2371, 4742, 9484. There are 6 integers that are factors of 9484. The greatest factor of 9484 is 9484.

3. What are the Factors of 9492?

Answer: Factors of 9492 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492. There are 24 integers that are factors of 9492. The greatest factor of 9492 is 9492.

4. How to Find the LCM of 9484 and 9492?

Answer:

Least Common Multiple of 9484 and 9492 = 22505532

Step 1: Find the prime factorization of 9484

9484 = 2 x 2 x 2371

Step 2: Find the prime factorization of 9492

9492 = 2 x 2 x 3 x 7 x 113

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

LCM = 22505532 = 2 x 2 x 3 x 7 x 113 x 2371

Step 4: Therefore, the least common multiple of 9484 and 9492 is 22505532.