Least Common Multiple of 7498 and 7505

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

• Least Common Multiple of 7498 and 7505 by Prime method
• Least Common Multiple of 7498 and 7505 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 7498 and 7505. First we will calculate the prime factors of 7498 and 7505.

Prime Factorization of 7498

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

7498 = 2¹×23¹×163¹

Prime Factorization of 7505

Prime factors of 7505 are 5, 19,79. Prime factorization of 7505 in exponential form is:

7505 = 5¹×19¹×79¹

Now multiplying the highest exponent prime factors to calculate the LCM of 7498 and 7505.

LCM(7498,7505) = 2¹×5¹×19¹×23¹×79¹×163¹
LCM(7498,7505) = 56272490

Factors of 7498

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

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

Factors of 7505

List of positive integer factors of 7505 that divides 7505 without a remainder.

1, 5, 19, 79, 95, 395, 1501, 7505

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7498 and 7505, than apply into the LCM equation.

GCF(7498,7505) = 1
LCM(7498,7505) = ( 7498 × 7505) / 1
LCM(7498,7505) = 56272490 / 1
LCM(7498,7505) = 56272490

(i) The LCM of 7505 and 7498 is associative

LCM of 7498 and 7505 = LCM of 7505 and 7498

1. What is the LCM of 7498 and 7505?

Answer: LCM of 7498 and 7505 is 56272490.

2. 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.

3. What are the Factors of 7505?

Answer: Factors of 7505 are 1, 5, 19, 79, 95, 395, 1501, 7505. There are 8 integers that are factors of 7505. The greatest factor of 7505 is 7505.

4. How to Find the LCM of 7498 and 7505?

Answer:

Least Common Multiple of 7498 and 7505 = 56272490

Step 1: Find the prime factorization of 7498

7498 = 2 x 23 x 163

Step 2: Find the prime factorization of 7505

7505 = 5 x 19 x 79

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

LCM = 56272490 = 2 x 5 x 19 x 23 x 79 x 163

Step 4: Therefore, the least common multiple of 7498 and 7505 is 56272490.