Least Common Multiple of 7472 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 7472 and 7479 the smallest integer that is 55883088 that is divisible by both numbers.

Least Common Multiple (LCM) of 7472 and 7479 is 55883088.

LCM(7472,7479) = 55883088

LCM of 7472 and 7479

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

LCM of:
and

Least Common Multiple of 7472 and 7479

LCM of 7472 and 7479 is 55883088

Least common multiple can be found by multiplying the highest exponent prime factors of 7472 and 7479. First we will calculate the prime factors of 7472 and 7479.

Prime Factorization of 7472


2 7472
2 3736
2 1868
2 934
467 467
1

Prime factors of 7472 are 2,467. Prime factorization of 7472 in exponential form is:

7472 = 24×4671

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 7472 and 7479.

LCM(7472,7479) = 24×33×2771×4671
LCM(7472,7479) = 55883088

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472

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 7472 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 7472 and 7479, than apply into the LCM equation.

GCF(7472,7479) = 1
LCM(7472,7479) = ( 7472 × 7479) / 1
LCM(7472,7479) = 55883088 / 1
LCM(7472,7479) = 55883088

Properties of LCM 7472 and 7479

(i) The LCM of 7479 and 7472 is associative

LCM of 7472 and 7479 = LCM of 7479 and 7472

Related Least Common Multiples of 7472

Related Least Common Multiples of 7479

Frequently Asked Questions on LCM of 7472 and 7479

1. What is the LCM of 7472 and 7479?

Answer: LCM of 7472 and 7479 is 55883088.

2. What are the Factors of 7472?

Answer: Factors of 7472 are 1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472. There are 10 integers that are factors of 7472. The greatest factor of 7472 is 7472.

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 7472 and 7479?

Answer:

Least Common Multiple of 7472 and 7479 = 55883088

Step 1: Find the prime factorization of 7472

7472 = 2 x 2 x 2 x 2 x 467

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 = 55883088 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 277 x 467

Step 4: Therefore, the least common multiple of 7472 and 7479 is 55883088.