Least Common Multiple of 7487 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 7487 and 7494 the smallest integer that is 56107578 that is divisible by both numbers.

Least Common Multiple (LCM) of 7487 and 7494 is 56107578.

LCM(7487,7494) = 56107578

LCM of 7487 and 7494

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

LCM of:
and

Least Common Multiple of 7487 and 7494

LCM of 7487 and 7494 is 56107578

Least common multiple can be found by multiplying the highest exponent prime factors of 7487 and 7494. First we will calculate the prime factors of 7487 and 7494.

Prime Factorization of 7487


7487 7487
1

Prime factors of 7487 are 7487. Prime factorization of 7487 in exponential form is:

7487 = 74871

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 7487 and 7494.

LCM(7487,7494) = 21×31×12491×74871
LCM(7487,7494) = 56107578

Factors of 7487

List of positive integer factors of 7487 that divides 7487 without a remainder.

1, 7487

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 7487 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 7487 and 7494, than apply into the LCM equation.

GCF(7487,7494) = 1
LCM(7487,7494) = ( 7487 × 7494) / 1
LCM(7487,7494) = 56107578 / 1
LCM(7487,7494) = 56107578

Properties of LCM 7487 and 7494

(i) The LCM of 7494 and 7487 is associative

LCM of 7487 and 7494 = LCM of 7494 and 7487

Related Least Common Multiples of 7487

Related Least Common Multiples of 7494

Frequently Asked Questions on LCM of 7487 and 7494

1. What is the LCM of 7487 and 7494?

Answer: LCM of 7487 and 7494 is 56107578.

2. What are the Factors of 7487?

Answer: Factors of 7487 are 1, 7487. There are 2 integers that are factors of 7487. The greatest factor of 7487 is 7487.

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 7487 and 7494?

Answer:

Least Common Multiple of 7487 and 7494 = 56107578

Step 1: Find the prime factorization of 7487

7487 = 7487

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 = 56107578 = 2 x 3 x 1249 x 7487

Step 4: Therefore, the least common multiple of 7487 and 7494 is 56107578.