Least Common Multiple of 8490 and 8498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8490 and 8498 the smallest integer that is 36074010 that is divisible by both numbers.

Least Common Multiple (LCM) of 8490 and 8498 is 36074010.

LCM(8490,8498) = 36074010

LCM of 8490 and 8498

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

LCM of:
and

Least Common Multiple of 8490 and 8498

LCM of 8490 and 8498 is 36074010

Least common multiple can be found by multiplying the highest exponent prime factors of 8490 and 8498. First we will calculate the prime factors of 8490 and 8498.

Prime Factorization of 8490


2 8490
3 4245
5 1415
283 283
1

Prime factors of 8490 are 2, 3, 5,283. Prime factorization of 8490 in exponential form is:

8490 = 21×31×51×2831

Prime Factorization of 8498


2 8498
7 4249
607 607
1

Prime factors of 8498 are 2, 7,607. Prime factorization of 8498 in exponential form is:

8498 = 21×71×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 8490 and 8498.

LCM(8490,8498) = 21×31×51×71×2831×6071
LCM(8490,8498) = 36074010

Factors of 8490

List of positive integer factors of 8490 that divides 8490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490

Factors of 8498

List of positive integer factors of 8498 that divides 8498 without a remainder.

1, 2, 7, 14, 607, 1214, 4249, 8498

Least Common Multiple of 8490 and 8498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8490 and 8498, than apply into the LCM equation.

GCF(8490,8498) = 2
LCM(8490,8498) = ( 8490 × 8498) / 2
LCM(8490,8498) = 72148020 / 2
LCM(8490,8498) = 36074010

Properties of LCM 8490 and 8498

(i) The LCM of 8498 and 8490 is associative

LCM of 8490 and 8498 = LCM of 8498 and 8490

Related Least Common Multiples of 8490

Related Least Common Multiples of 8498

Frequently Asked Questions on LCM of 8490 and 8498

1. What is the LCM of 8490 and 8498?

Answer: LCM of 8490 and 8498 is 36074010.

2. What are the Factors of 8490?

Answer: Factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490. There are 16 integers that are factors of 8490. The greatest factor of 8490 is 8490.

3. What are the Factors of 8498?

Answer: Factors of 8498 are 1, 2, 7, 14, 607, 1214, 4249, 8498. There are 8 integers that are factors of 8498. The greatest factor of 8498 is 8498.

4. How to Find the LCM of 8490 and 8498?

Answer:

Least Common Multiple of 8490 and 8498 = 36074010

Step 1: Find the prime factorization of 8490

8490 = 2 x 3 x 5 x 283

Step 2: Find the prime factorization of 8498

8498 = 2 x 7 x 607

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

LCM = 36074010 = 2 x 3 x 5 x 7 x 283 x 607

Step 4: Therefore, the least common multiple of 8490 and 8498 is 36074010.