Least Common Multiple of 5472 and 5477

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 5477 the smallest integer that is 29970144 that is divisible by both numbers.

Least Common Multiple (LCM) of 5472 and 5477 is 29970144.

LCM(5472,5477) = 29970144

LCM of 5472 and 5477

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

LCM of:
and

Least Common Multiple of 5472 and 5477

LCM of 5472 and 5477 is 29970144

Least common multiple can be found by multiplying the highest exponent prime factors of 5472 and 5477. First we will calculate the prime factors of 5472 and 5477.

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 5477


5477 5477
1

Prime factors of 5477 are 5477. Prime factorization of 5477 in exponential form is:

5477 = 54771

Now multiplying the highest exponent prime factors to calculate the LCM of 5472 and 5477.

LCM(5472,5477) = 25×32×191×54771
LCM(5472,5477) = 29970144

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 5477

List of positive integer factors of 5477 that divides 5477 without a remainder.

1, 5477

Least Common Multiple of 5472 and 5477 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 5477, than apply into the LCM equation.

GCF(5472,5477) = 1
LCM(5472,5477) = ( 5472 × 5477) / 1
LCM(5472,5477) = 29970144 / 1
LCM(5472,5477) = 29970144

Properties of LCM 5472 and 5477

(i) The LCM of 5477 and 5472 is associative

LCM of 5472 and 5477 = LCM of 5477 and 5472

Related Least Common Multiples of 5472

Related Least Common Multiples of 5477

Frequently Asked Questions on LCM of 5472 and 5477

1. What is the LCM of 5472 and 5477?

Answer: LCM of 5472 and 5477 is 29970144.

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 5477?

Answer: Factors of 5477 are 1, 5477. There are 2 integers that are factors of 5477. The greatest factor of 5477 is 5477.

4. How to Find the LCM of 5472 and 5477?

Answer:

Least Common Multiple of 5472 and 5477 = 29970144

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 5477

5477 = 5477

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

LCM = 29970144 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 5477

Step 4: Therefore, the least common multiple of 5472 and 5477 is 29970144.