Least Common Multiple of 9492 and 9499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9492 and 9499 the smallest integer that is 12880644 that is divisible by both numbers.

Least Common Multiple (LCM) of 9492 and 9499 is 12880644.

LCM(9492,9499) = 12880644

LCM of 9492 and 9499

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

LCM of:
and

Least Common Multiple of 9492 and 9499

LCM of 9492 and 9499 is 12880644

Least common multiple can be found by multiplying the highest exponent prime factors of 9492 and 9499. First we will calculate the prime factors of 9492 and 9499.

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

Prime Factorization of 9499


7 9499
23 1357
59 59
1

Prime factors of 9499 are 7, 23,59. Prime factorization of 9499 in exponential form is:

9499 = 71×231×591

Now multiplying the highest exponent prime factors to calculate the LCM of 9492 and 9499.

LCM(9492,9499) = 22×31×71×231×591×1131
LCM(9492,9499) = 12880644

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

Factors of 9499

List of positive integer factors of 9499 that divides 9499 without a remainder.

1, 7, 23, 59, 161, 413, 1357, 9499

Least Common Multiple of 9492 and 9499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9492 and 9499, than apply into the LCM equation.

GCF(9492,9499) = 7
LCM(9492,9499) = ( 9492 × 9499) / 7
LCM(9492,9499) = 90164508 / 7
LCM(9492,9499) = 12880644

Properties of LCM 9492 and 9499

(i) The LCM of 9499 and 9492 is associative

LCM of 9492 and 9499 = LCM of 9499 and 9492

Related Least Common Multiples of 9492

Related Least Common Multiples of 9499

Frequently Asked Questions on LCM of 9492 and 9499

1. What is the LCM of 9492 and 9499?

Answer: LCM of 9492 and 9499 is 12880644.

2. 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.

3. What are the Factors of 9499?

Answer: Factors of 9499 are 1, 7, 23, 59, 161, 413, 1357, 9499. There are 8 integers that are factors of 9499. The greatest factor of 9499 is 9499.

4. How to Find the LCM of 9492 and 9499?

Answer:

Least Common Multiple of 9492 and 9499 = 12880644

Step 1: Find the prime factorization of 9492

9492 = 2 x 2 x 3 x 7 x 113

Step 2: Find the prime factorization of 9499

9499 = 7 x 23 x 59

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

LCM = 12880644 = 2 x 2 x 3 x 7 x 23 x 59 x 113

Step 4: Therefore, the least common multiple of 9492 and 9499 is 12880644.