Least Common Multiple of 9498 and 9506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9498 and 9506 the smallest integer that is 45143994 that is divisible by both numbers.

Least Common Multiple (LCM) of 9498 and 9506 is 45143994.

LCM(9498,9506) = 45143994

LCM of 9498 and 9506

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

LCM of:
and

Least Common Multiple of 9498 and 9506

LCM of 9498 and 9506 is 45143994

Least common multiple can be found by multiplying the highest exponent prime factors of 9498 and 9506. First we will calculate the prime factors of 9498 and 9506.

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

Prime Factorization of 9506


2 9506
7 4753
7 679
97 97
1

Prime factors of 9506 are 2, 7,97. Prime factorization of 9506 in exponential form is:

9506 = 21×72×971

Now multiplying the highest exponent prime factors to calculate the LCM of 9498 and 9506.

LCM(9498,9506) = 21×31×72×971×15831
LCM(9498,9506) = 45143994

Factors of 9498

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

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

Factors of 9506

List of positive integer factors of 9506 that divides 9506 without a remainder.

1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506

Least Common Multiple of 9498 and 9506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9498 and 9506, than apply into the LCM equation.

GCF(9498,9506) = 2
LCM(9498,9506) = ( 9498 × 9506) / 2
LCM(9498,9506) = 90287988 / 2
LCM(9498,9506) = 45143994

Properties of LCM 9498 and 9506

(i) The LCM of 9506 and 9498 is associative

LCM of 9498 and 9506 = LCM of 9506 and 9498

Related Least Common Multiples of 9498

Related Least Common Multiples of 9506

Frequently Asked Questions on LCM of 9498 and 9506

1. What is the LCM of 9498 and 9506?

Answer: LCM of 9498 and 9506 is 45143994.

2. 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.

3. What are the Factors of 9506?

Answer: Factors of 9506 are 1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506. There are 12 integers that are factors of 9506. The greatest factor of 9506 is 9506.

4. How to Find the LCM of 9498 and 9506?

Answer:

Least Common Multiple of 9498 and 9506 = 45143994

Step 1: Find the prime factorization of 9498

9498 = 2 x 3 x 1583

Step 2: Find the prime factorization of 9506

9506 = 2 x 7 x 7 x 97

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

LCM = 45143994 = 2 x 3 x 7 x 7 x 97 x 1583

Step 4: Therefore, the least common multiple of 9498 and 9506 is 45143994.