Least Common Multiple of 7491 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 7491 and 7498 the smallest integer that is 56167518 that is divisible by both numbers.

Least Common Multiple (LCM) of 7491 and 7498 is 56167518.

LCM(7491,7498) = 56167518

LCM of 7491 and 7498

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

LCM of:
and

Least Common Multiple of 7491 and 7498

LCM of 7491 and 7498 is 56167518

Least common multiple can be found by multiplying the highest exponent prime factors of 7491 and 7498. First we will calculate the prime factors of 7491 and 7498.

Prime Factorization of 7491


3 7491
11 2497
227 227
1

Prime factors of 7491 are 3, 11,227. Prime factorization of 7491 in exponential form is:

7491 = 31×111×2271

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 7491 and 7498.

LCM(7491,7498) = 21×31×111×231×1631×2271
LCM(7491,7498) = 56167518

Factors of 7491

List of positive integer factors of 7491 that divides 7491 without a remainder.

1, 3, 11, 33, 227, 681, 2497, 7491

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 7491 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 7491 and 7498, than apply into the LCM equation.

GCF(7491,7498) = 1
LCM(7491,7498) = ( 7491 × 7498) / 1
LCM(7491,7498) = 56167518 / 1
LCM(7491,7498) = 56167518

Properties of LCM 7491 and 7498

(i) The LCM of 7498 and 7491 is associative

LCM of 7491 and 7498 = LCM of 7498 and 7491

Related Least Common Multiples of 7491

Related Least Common Multiples of 7498

Frequently Asked Questions on LCM of 7491 and 7498

1. What is the LCM of 7491 and 7498?

Answer: LCM of 7491 and 7498 is 56167518.

2. What are the Factors of 7491?

Answer: Factors of 7491 are 1, 3, 11, 33, 227, 681, 2497, 7491. There are 8 integers that are factors of 7491. The greatest factor of 7491 is 7491.

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 7491 and 7498?

Answer:

Least Common Multiple of 7491 and 7498 = 56167518

Step 1: Find the prime factorization of 7491

7491 = 3 x 11 x 227

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 = 56167518 = 2 x 3 x 11 x 23 x 163 x 227

Step 4: Therefore, the least common multiple of 7491 and 7498 is 56167518.