Least Common Multiple of 7489 and 7494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7489 and 7494 the smallest integer that is 56122566 that is divisible by both numbers.

Least Common Multiple (LCM) of 7489 and 7494 is 56122566.

LCM(7489,7494) = 56122566

LCM of 7489 and 7494

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

LCM of:
and

Least Common Multiple of 7489 and 7494

LCM of 7489 and 7494 is 56122566

Least common multiple can be found by multiplying the highest exponent prime factors of 7489 and 7494. First we will calculate the prime factors of 7489 and 7494.

Prime Factorization of 7489


7489 7489
1

Prime factors of 7489 are 7489. Prime factorization of 7489 in exponential form is:

7489 = 74891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7489 and 7494.

LCM(7489,7494) = 21×31×12491×74891
LCM(7489,7494) = 56122566

Factors of 7489

List of positive integer factors of 7489 that divides 7489 without a remainder.

1, 7489

Factors of 7494

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

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

Least Common Multiple of 7489 and 7494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7489 and 7494, than apply into the LCM equation.

GCF(7489,7494) = 1
LCM(7489,7494) = ( 7489 × 7494) / 1
LCM(7489,7494) = 56122566 / 1
LCM(7489,7494) = 56122566

Properties of LCM 7489 and 7494

(i) The LCM of 7494 and 7489 is associative

LCM of 7489 and 7494 = LCM of 7494 and 7489

Related Least Common Multiples of 7489

Related Least Common Multiples of 7494

Frequently Asked Questions on LCM of 7489 and 7494

1. What is the LCM of 7489 and 7494?

Answer: LCM of 7489 and 7494 is 56122566.

2. What are the Factors of 7489?

Answer: Factors of 7489 are 1, 7489. There are 2 integers that are factors of 7489. The greatest factor of 7489 is 7489.

3. 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.

4. How to Find the LCM of 7489 and 7494?

Answer:

Least Common Multiple of 7489 and 7494 = 56122566

Step 1: Find the prime factorization of 7489

7489 = 7489

Step 2: Find the prime factorization of 7494

7494 = 2 x 3 x 1249

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

LCM = 56122566 = 2 x 3 x 1249 x 7489

Step 4: Therefore, the least common multiple of 7489 and 7494 is 56122566.