Least Common Multiple of 9498 and 9505

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 9505 the smallest integer that is 90278490 that is divisible by both numbers.

Least Common Multiple (LCM) of 9498 and 9505 is 90278490.

LCM(9498,9505) = 90278490

LCM of 9498 and 9505

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

LCM of:
and

Least Common Multiple of 9498 and 9505

LCM of 9498 and 9505 is 90278490

Least common multiple can be found by multiplying the highest exponent prime factors of 9498 and 9505. First we will calculate the prime factors of 9498 and 9505.

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 9505


5 9505
1901 1901
1

Prime factors of 9505 are 5,1901. Prime factorization of 9505 in exponential form is:

9505 = 51×19011

Now multiplying the highest exponent prime factors to calculate the LCM of 9498 and 9505.

LCM(9498,9505) = 21×31×51×15831×19011
LCM(9498,9505) = 90278490

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 9505

List of positive integer factors of 9505 that divides 9505 without a remainder.

1, 5, 1901, 9505

Least Common Multiple of 9498 and 9505 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 9505, than apply into the LCM equation.

GCF(9498,9505) = 1
LCM(9498,9505) = ( 9498 × 9505) / 1
LCM(9498,9505) = 90278490 / 1
LCM(9498,9505) = 90278490

Properties of LCM 9498 and 9505

(i) The LCM of 9505 and 9498 is associative

LCM of 9498 and 9505 = LCM of 9505 and 9498

Related Least Common Multiples of 9498

Related Least Common Multiples of 9505

Frequently Asked Questions on LCM of 9498 and 9505

1. What is the LCM of 9498 and 9505?

Answer: LCM of 9498 and 9505 is 90278490.

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 9505?

Answer: Factors of 9505 are 1, 5, 1901, 9505. There are 4 integers that are factors of 9505. The greatest factor of 9505 is 9505.

4. How to Find the LCM of 9498 and 9505?

Answer:

Least Common Multiple of 9498 and 9505 = 90278490

Step 1: Find the prime factorization of 9498

9498 = 2 x 3 x 1583

Step 2: Find the prime factorization of 9505

9505 = 5 x 1901

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

LCM = 90278490 = 2 x 3 x 5 x 1583 x 1901

Step 4: Therefore, the least common multiple of 9498 and 9505 is 90278490.