Least Common Multiple of 7479 and 7481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7479 and 7481 the smallest integer that is 55950399 that is divisible by both numbers.

Least Common Multiple (LCM) of 7479 and 7481 is 55950399.

LCM(7479,7481) = 55950399

LCM of 7479 and 7481

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

LCM of:
and

Least Common Multiple of 7479 and 7481

LCM of 7479 and 7481 is 55950399

Least common multiple can be found by multiplying the highest exponent prime factors of 7479 and 7481. First we will calculate the prime factors of 7479 and 7481.

Prime Factorization of 7479


3 7479
3 2493
3 831
277 277
1

Prime factors of 7479 are 3,277. Prime factorization of 7479 in exponential form is:

7479 = 33×2771

Prime Factorization of 7481


7481 7481
1

Prime factors of 7481 are 7481. Prime factorization of 7481 in exponential form is:

7481 = 74811

Now multiplying the highest exponent prime factors to calculate the LCM of 7479 and 7481.

LCM(7479,7481) = 33×2771×74811
LCM(7479,7481) = 55950399

Factors of 7479

List of positive integer factors of 7479 that divides 7479 without a remainder.

1, 3, 9, 27, 277, 831, 2493, 7479

Factors of 7481

List of positive integer factors of 7481 that divides 7481 without a remainder.

1, 7481

Least Common Multiple of 7479 and 7481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7479 and 7481, than apply into the LCM equation.

GCF(7479,7481) = 1
LCM(7479,7481) = ( 7479 × 7481) / 1
LCM(7479,7481) = 55950399 / 1
LCM(7479,7481) = 55950399

Properties of LCM 7479 and 7481

(i) The LCM of 7481 and 7479 is associative

LCM of 7479 and 7481 = LCM of 7481 and 7479

Related Least Common Multiples of 7479

Related Least Common Multiples of 7481

Frequently Asked Questions on LCM of 7479 and 7481

1. What is the LCM of 7479 and 7481?

Answer: LCM of 7479 and 7481 is 55950399.

2. What are the Factors of 7479?

Answer: Factors of 7479 are 1, 3, 9, 27, 277, 831, 2493, 7479. There are 8 integers that are factors of 7479. The greatest factor of 7479 is 7479.

3. What are the Factors of 7481?

Answer: Factors of 7481 are 1, 7481. There are 2 integers that are factors of 7481. The greatest factor of 7481 is 7481.

4. How to Find the LCM of 7479 and 7481?

Answer:

Least Common Multiple of 7479 and 7481 = 55950399

Step 1: Find the prime factorization of 7479

7479 = 3 x 3 x 3 x 277

Step 2: Find the prime factorization of 7481

7481 = 7481

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

LCM = 55950399 = 3 x 3 x 3 x 277 x 7481

Step 4: Therefore, the least common multiple of 7479 and 7481 is 55950399.