Least Common Multiple of 5472 and 5476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5472 and 5476 the smallest integer that is 7491168 that is divisible by both numbers.

Least Common Multiple (LCM) of 5472 and 5476 is 7491168.

LCM(5472,5476) = 7491168

LCM of 5472 and 5476

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

LCM of:
and

Least Common Multiple of 5472 and 5476

LCM of 5472 and 5476 is 7491168

Least common multiple can be found by multiplying the highest exponent prime factors of 5472 and 5476. First we will calculate the prime factors of 5472 and 5476.

Prime Factorization of 5472


2 5472
2 2736
2 1368
2 684
2 342
3 171
3 57
19 19
1

Prime factors of 5472 are 2, 3,19. Prime factorization of 5472 in exponential form is:

5472 = 25×32×191

Prime Factorization of 5476


2 5476
2 2738
37 1369
37 37
1

Prime factors of 5476 are 2,37. Prime factorization of 5476 in exponential form is:

5476 = 22×372

Now multiplying the highest exponent prime factors to calculate the LCM of 5472 and 5476.

LCM(5472,5476) = 25×32×191×372
LCM(5472,5476) = 7491168

Factors of 5472

List of positive integer factors of 5472 that divides 5472 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472

Factors of 5476

List of positive integer factors of 5476 that divides 5476 without a remainder.

1, 2, 4, 37, 74, 148, 1369, 2738, 5476

Least Common Multiple of 5472 and 5476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5472 and 5476, than apply into the LCM equation.

GCF(5472,5476) = 4
LCM(5472,5476) = ( 5472 × 5476) / 4
LCM(5472,5476) = 29964672 / 4
LCM(5472,5476) = 7491168

Properties of LCM 5472 and 5476

(i) The LCM of 5476 and 5472 is associative

LCM of 5472 and 5476 = LCM of 5476 and 5472

Related Least Common Multiples of 5472

Related Least Common Multiples of 5476

Frequently Asked Questions on LCM of 5472 and 5476

1. What is the LCM of 5472 and 5476?

Answer: LCM of 5472 and 5476 is 7491168.

2. What are the Factors of 5472?

Answer: Factors of 5472 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472. There are 36 integers that are factors of 5472. The greatest factor of 5472 is 5472.

3. What are the Factors of 5476?

Answer: Factors of 5476 are 1, 2, 4, 37, 74, 148, 1369, 2738, 5476. There are 9 integers that are factors of 5476. The greatest factor of 5476 is 5476.

4. How to Find the LCM of 5472 and 5476?

Answer:

Least Common Multiple of 5472 and 5476 = 7491168

Step 1: Find the prime factorization of 5472

5472 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 5476

5476 = 2 x 2 x 37 x 37

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

LCM = 7491168 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 37 x 37

Step 4: Therefore, the least common multiple of 5472 and 5476 is 7491168.