Least Common Multiple of 7498 and 7503

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

• Least Common Multiple of 7498 and 7503 by Prime method
• Least Common Multiple of 7498 and 7503 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 7498 and 7503. First we will calculate the prime factors of 7498 and 7503.

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 7503

Prime factors of 7503 are 3, 41,61. Prime factorization of 7503 in exponential form is:

7503 = 3¹×41¹×61¹

Now multiplying the highest exponent prime factors to calculate the LCM of 7498 and 7503.

LCM(7498,7503) = 2¹×3¹×23¹×41¹×61¹×163¹
LCM(7498,7503) = 56257494

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 7503

List of positive integer factors of 7503 that divides 7503 without a remainder.

1, 3, 41, 61, 123, 183, 2501, 7503

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7498 and 7503, than apply into the LCM equation.

GCF(7498,7503) = 1
LCM(7498,7503) = ( 7498 × 7503) / 1
LCM(7498,7503) = 56257494 / 1
LCM(7498,7503) = 56257494

(i) The LCM of 7503 and 7498 is associative

LCM of 7498 and 7503 = LCM of 7503 and 7498

1. What is the LCM of 7498 and 7503?

Answer: LCM of 7498 and 7503 is 56257494.

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 7503?

Answer: Factors of 7503 are 1, 3, 41, 61, 123, 183, 2501, 7503. There are 8 integers that are factors of 7503. The greatest factor of 7503 is 7503.

4. How to Find the LCM of 7498 and 7503?

Answer:

Least Common Multiple of 7498 and 7503 = 56257494

Step 1: Find the prime factorization of 7498

7498 = 2 x 23 x 163

Step 2: Find the prime factorization of 7503

7503 = 3 x 41 x 61

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

LCM = 56257494 = 2 x 3 x 23 x 41 x 61 x 163

Step 4: Therefore, the least common multiple of 7498 and 7503 is 56257494.