Least Common Multiple of 9488 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 9488 and 9492 the smallest integer that is 22515024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9488 and 9492 is 22515024.

LCM(9488,9492) = 22515024

LCM of 9488 and 9492

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

LCM of:
and

Least Common Multiple of 9488 and 9492

LCM of 9488 and 9492 is 22515024

Least common multiple can be found by multiplying the highest exponent prime factors of 9488 and 9492. First we will calculate the prime factors of 9488 and 9492.

Prime Factorization of 9488


2 9488
2 4744
2 2372
2 1186
593 593
1

Prime factors of 9488 are 2,593. Prime factorization of 9488 in exponential form is:

9488 = 24×5931

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 9488 and 9492.

LCM(9488,9492) = 24×31×71×1131×5931
LCM(9488,9492) = 22515024

Factors of 9488

List of positive integer factors of 9488 that divides 9488 without a remainder.

1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488

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 9488 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 9488 and 9492, than apply into the LCM equation.

GCF(9488,9492) = 4
LCM(9488,9492) = ( 9488 × 9492) / 4
LCM(9488,9492) = 90060096 / 4
LCM(9488,9492) = 22515024

Properties of LCM 9488 and 9492

(i) The LCM of 9492 and 9488 is associative

LCM of 9488 and 9492 = LCM of 9492 and 9488

Related Least Common Multiples of 9488

Related Least Common Multiples of 9492

Frequently Asked Questions on LCM of 9488 and 9492

1. What is the LCM of 9488 and 9492?

Answer: LCM of 9488 and 9492 is 22515024.

2. What are the Factors of 9488?

Answer: Factors of 9488 are 1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488. There are 10 integers that are factors of 9488. The greatest factor of 9488 is 9488.

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 9488 and 9492?

Answer:

Least Common Multiple of 9488 and 9492 = 22515024

Step 1: Find the prime factorization of 9488

9488 = 2 x 2 x 2 x 2 x 593

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 = 22515024 = 2 x 2 x 2 x 2 x 3 x 7 x 113 x 593

Step 4: Therefore, the least common multiple of 9488 and 9492 is 22515024.