Least Common Multiple of 7477 and 7479

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 7479 the smallest integer that is 55920483 that is divisible by both numbers.

Least Common Multiple (LCM) of 7477 and 7479 is 55920483.

LCM(7477,7479) = 55920483

LCM of 7477 and 7479

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

LCM of:
and

Least Common Multiple of 7477 and 7479

LCM of 7477 and 7479 is 55920483

Least common multiple can be found by multiplying the highest exponent prime factors of 7477 and 7479. First we will calculate the prime factors of 7477 and 7479.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7477 and 7479.

LCM(7477,7479) = 33×2771×74771
LCM(7477,7479) = 55920483

Factors of 7477

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

1, 7477

Factors of 7479

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

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

Least Common Multiple of 7477 and 7479 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 7479, than apply into the LCM equation.

GCF(7477,7479) = 1
LCM(7477,7479) = ( 7477 × 7479) / 1
LCM(7477,7479) = 55920483 / 1
LCM(7477,7479) = 55920483

Properties of LCM 7477 and 7479

(i) The LCM of 7479 and 7477 is associative

LCM of 7477 and 7479 = LCM of 7479 and 7477

Related Least Common Multiples of 7477

Related Least Common Multiples of 7479

Frequently Asked Questions on LCM of 7477 and 7479

1. What is the LCM of 7477 and 7479?

Answer: LCM of 7477 and 7479 is 55920483.

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 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.

4. How to Find the LCM of 7477 and 7479?

Answer:

Least Common Multiple of 7477 and 7479 = 55920483

Step 1: Find the prime factorization of 7477

7477 = 7477

Step 2: Find the prime factorization of 7479

7479 = 3 x 3 x 3 x 277

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

LCM = 55920483 = 3 x 3 x 3 x 277 x 7477

Step 4: Therefore, the least common multiple of 7477 and 7479 is 55920483.