Least Common Multiple of 7490 and 7498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7490 and 7498 the smallest integer that is 28080010 that is divisible by both numbers.

Least Common Multiple (LCM) of 7490 and 7498 is 28080010.

LCM(7490,7498) = 28080010

LCM of 7490 and 7498

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

LCM of:
and

Least Common Multiple of 7490 and 7498

LCM of 7490 and 7498 is 28080010

Least common multiple can be found by multiplying the highest exponent prime factors of 7490 and 7498. First we will calculate the prime factors of 7490 and 7498.

Prime Factorization of 7490


2 7490
5 3745
7 749
107 107
1

Prime factors of 7490 are 2, 5, 7,107. Prime factorization of 7490 in exponential form is:

7490 = 21×51×71×1071

Prime Factorization of 7498


2 7498
23 3749
163 163
1

Prime factors of 7498 are 2, 23,163. Prime factorization of 7498 in exponential form is:

7498 = 21×231×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 7490 and 7498.

LCM(7490,7498) = 21×51×71×231×1071×1631
LCM(7490,7498) = 28080010

Factors of 7490

List of positive integer factors of 7490 that divides 7490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490

Factors of 7498

List of positive integer factors of 7498 that divides 7498 without a remainder.

1, 2, 23, 46, 163, 326, 3749, 7498

Least Common Multiple of 7490 and 7498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7490 and 7498, than apply into the LCM equation.

GCF(7490,7498) = 2
LCM(7490,7498) = ( 7490 × 7498) / 2
LCM(7490,7498) = 56160020 / 2
LCM(7490,7498) = 28080010

Properties of LCM 7490 and 7498

(i) The LCM of 7498 and 7490 is associative

LCM of 7490 and 7498 = LCM of 7498 and 7490

Related Least Common Multiples of 7490

Related Least Common Multiples of 7498

Frequently Asked Questions on LCM of 7490 and 7498

1. What is the LCM of 7490 and 7498?

Answer: LCM of 7490 and 7498 is 28080010.

2. What are the Factors of 7490?

Answer: Factors of 7490 are 1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490. There are 16 integers that are factors of 7490. The greatest factor of 7490 is 7490.

3. What are the Factors of 7498?

Answer: Factors of 7498 are 1, 2, 23, 46, 163, 326, 3749, 7498. There are 8 integers that are factors of 7498. The greatest factor of 7498 is 7498.

4. How to Find the LCM of 7490 and 7498?

Answer:

Least Common Multiple of 7490 and 7498 = 28080010

Step 1: Find the prime factorization of 7490

7490 = 2 x 5 x 7 x 107

Step 2: Find the prime factorization of 7498

7498 = 2 x 23 x 163

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

LCM = 28080010 = 2 x 5 x 7 x 23 x 107 x 163

Step 4: Therefore, the least common multiple of 7490 and 7498 is 28080010.