Least Common Multiple of 7477 and 7482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7477 and 7482 the smallest integer that is 55942914 that is divisible by both numbers.

Least Common Multiple (LCM) of 7477 and 7482 is 55942914.

LCM(7477,7482) = 55942914

LCM of 7477 and 7482

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

LCM of:
and

Least Common Multiple of 7477 and 7482

LCM of 7477 and 7482 is 55942914

Least common multiple can be found by multiplying the highest exponent prime factors of 7477 and 7482. First we will calculate the prime factors of 7477 and 7482.

Prime Factorization of 7477


7477 7477
1

Prime factors of 7477 are 7477. Prime factorization of 7477 in exponential form is:

7477 = 74771

Prime Factorization of 7482


2 7482
3 3741
29 1247
43 43
1

Prime factors of 7482 are 2, 3, 29,43. Prime factorization of 7482 in exponential form is:

7482 = 21×31×291×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7477 and 7482.

LCM(7477,7482) = 21×31×291×431×74771
LCM(7477,7482) = 55942914

Factors of 7477

List of positive integer factors of 7477 that divides 7477 without a remainder.

1, 7477

Factors of 7482

List of positive integer factors of 7482 that divides 7482 without a remainder.

1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482

Least Common Multiple of 7477 and 7482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7477 and 7482, than apply into the LCM equation.

GCF(7477,7482) = 1
LCM(7477,7482) = ( 7477 × 7482) / 1
LCM(7477,7482) = 55942914 / 1
LCM(7477,7482) = 55942914

Properties of LCM 7477 and 7482

(i) The LCM of 7482 and 7477 is associative

LCM of 7477 and 7482 = LCM of 7482 and 7477

Related Least Common Multiples of 7477

Related Least Common Multiples of 7482

Frequently Asked Questions on LCM of 7477 and 7482

1. What is the LCM of 7477 and 7482?

Answer: LCM of 7477 and 7482 is 55942914.

2. What are the Factors of 7477?

Answer: Factors of 7477 are 1, 7477. There are 2 integers that are factors of 7477. The greatest factor of 7477 is 7477.

3. What are the Factors of 7482?

Answer: Factors of 7482 are 1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482. There are 16 integers that are factors of 7482. The greatest factor of 7482 is 7482.

4. How to Find the LCM of 7477 and 7482?

Answer:

Least Common Multiple of 7477 and 7482 = 55942914

Step 1: Find the prime factorization of 7477

7477 = 7477

Step 2: Find the prime factorization of 7482

7482 = 2 x 3 x 29 x 43

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

LCM = 55942914 = 2 x 3 x 29 x 43 x 7477

Step 4: Therefore, the least common multiple of 7477 and 7482 is 55942914.