Least Common Multiple of 7494 and 7499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7494 and 7499 the smallest integer that is 56197506 that is divisible by both numbers.

Least Common Multiple (LCM) of 7494 and 7499 is 56197506.

LCM(7494,7499) = 56197506

LCM of 7494 and 7499

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

LCM of:
and

Least Common Multiple of 7494 and 7499

LCM of 7494 and 7499 is 56197506

Least common multiple can be found by multiplying the highest exponent prime factors of 7494 and 7499. First we will calculate the prime factors of 7494 and 7499.

Prime Factorization of 7494


2 7494
3 3747
1249 1249
1

Prime factors of 7494 are 2, 3,1249. Prime factorization of 7494 in exponential form is:

7494 = 21×31×12491

Prime Factorization of 7499


7499 7499
1

Prime factors of 7499 are 7499. Prime factorization of 7499 in exponential form is:

7499 = 74991

Now multiplying the highest exponent prime factors to calculate the LCM of 7494 and 7499.

LCM(7494,7499) = 21×31×12491×74991
LCM(7494,7499) = 56197506

Factors of 7494

List of positive integer factors of 7494 that divides 7494 without a remainder.

1, 2, 3, 6, 1249, 2498, 3747, 7494

Factors of 7499

List of positive integer factors of 7499 that divides 7499 without a remainder.

1, 7499

Least Common Multiple of 7494 and 7499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7494 and 7499, than apply into the LCM equation.

GCF(7494,7499) = 1
LCM(7494,7499) = ( 7494 × 7499) / 1
LCM(7494,7499) = 56197506 / 1
LCM(7494,7499) = 56197506

Properties of LCM 7494 and 7499

(i) The LCM of 7499 and 7494 is associative

LCM of 7494 and 7499 = LCM of 7499 and 7494

Related Least Common Multiples of 7494

Related Least Common Multiples of 7499

Frequently Asked Questions on LCM of 7494 and 7499

1. What is the LCM of 7494 and 7499?

Answer: LCM of 7494 and 7499 is 56197506.

2. What are the Factors of 7494?

Answer: Factors of 7494 are 1, 2, 3, 6, 1249, 2498, 3747, 7494. There are 8 integers that are factors of 7494. The greatest factor of 7494 is 7494.

3. What are the Factors of 7499?

Answer: Factors of 7499 are 1, 7499. There are 2 integers that are factors of 7499. The greatest factor of 7499 is 7499.

4. How to Find the LCM of 7494 and 7499?

Answer:

Least Common Multiple of 7494 and 7499 = 56197506

Step 1: Find the prime factorization of 7494

7494 = 2 x 3 x 1249

Step 2: Find the prime factorization of 7499

7499 = 7499

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

LCM = 56197506 = 2 x 3 x 1249 x 7499

Step 4: Therefore, the least common multiple of 7494 and 7499 is 56197506.