Least Common Multiple of 9492 and 9498

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 9498 the smallest integer that is 15025836 that is divisible by both numbers.

Least Common Multiple (LCM) of 9492 and 9498 is 15025836.

LCM(9492,9498) = 15025836

LCM of 9492 and 9498

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

LCM of:
and

Least Common Multiple of 9492 and 9498

LCM of 9492 and 9498 is 15025836

Least common multiple can be found by multiplying the highest exponent prime factors of 9492 and 9498. First we will calculate the prime factors of 9492 and 9498.

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 9498


2 9498
3 4749
1583 1583
1

Prime factors of 9498 are 2, 3,1583. Prime factorization of 9498 in exponential form is:

9498 = 21×31×15831

Now multiplying the highest exponent prime factors to calculate the LCM of 9492 and 9498.

LCM(9492,9498) = 22×31×71×1131×15831
LCM(9492,9498) = 15025836

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 9498

List of positive integer factors of 9498 that divides 9498 without a remainder.

1, 2, 3, 6, 1583, 3166, 4749, 9498

Least Common Multiple of 9492 and 9498 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 9498, than apply into the LCM equation.

GCF(9492,9498) = 6
LCM(9492,9498) = ( 9492 × 9498) / 6
LCM(9492,9498) = 90155016 / 6
LCM(9492,9498) = 15025836

Properties of LCM 9492 and 9498

(i) The LCM of 9498 and 9492 is associative

LCM of 9492 and 9498 = LCM of 9498 and 9492

Related Least Common Multiples of 9492

Related Least Common Multiples of 9498

Frequently Asked Questions on LCM of 9492 and 9498

1. What is the LCM of 9492 and 9498?

Answer: LCM of 9492 and 9498 is 15025836.

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 9498?

Answer: Factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498. There are 8 integers that are factors of 9498. The greatest factor of 9498 is 9498.

4. How to Find the LCM of 9492 and 9498?

Answer:

Least Common Multiple of 9492 and 9498 = 15025836

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 9498

9498 = 2 x 3 x 1583

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

LCM = 15025836 = 2 x 2 x 3 x 7 x 113 x 1583

Step 4: Therefore, the least common multiple of 9492 and 9498 is 15025836.