Least Common Multiple of 5468 and 5472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5468 and 5472 the smallest integer that is 7480224 that is divisible by both numbers.

Least Common Multiple (LCM) of 5468 and 5472 is 7480224.

LCM(5468,5472) = 7480224

LCM of 5468 and 5472

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

LCM of:
and

Least Common Multiple of 5468 and 5472

LCM of 5468 and 5472 is 7480224

Least common multiple can be found by multiplying the highest exponent prime factors of 5468 and 5472. First we will calculate the prime factors of 5468 and 5472.

Prime Factorization of 5468


2 5468
2 2734
1367 1367
1

Prime factors of 5468 are 2,1367. Prime factorization of 5468 in exponential form is:

5468 = 22×13671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5468 and 5472.

LCM(5468,5472) = 25×32×191×13671
LCM(5468,5472) = 7480224

Factors of 5468

List of positive integer factors of 5468 that divides 5468 without a remainder.

1, 2, 4, 1367, 2734, 5468

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

Least Common Multiple of 5468 and 5472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5468 and 5472, than apply into the LCM equation.

GCF(5468,5472) = 4
LCM(5468,5472) = ( 5468 × 5472) / 4
LCM(5468,5472) = 29920896 / 4
LCM(5468,5472) = 7480224

Properties of LCM 5468 and 5472

(i) The LCM of 5472 and 5468 is associative

LCM of 5468 and 5472 = LCM of 5472 and 5468

Related Least Common Multiples of 5468

Related Least Common Multiples of 5472

Frequently Asked Questions on LCM of 5468 and 5472

1. What is the LCM of 5468 and 5472?

Answer: LCM of 5468 and 5472 is 7480224.

2. What are the Factors of 5468?

Answer: Factors of 5468 are 1, 2, 4, 1367, 2734, 5468. There are 6 integers that are factors of 5468. The greatest factor of 5468 is 5468.

3. 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.

4. How to Find the LCM of 5468 and 5472?

Answer:

Least Common Multiple of 5468 and 5472 = 7480224

Step 1: Find the prime factorization of 5468

5468 = 2 x 2 x 1367

Step 2: Find the prime factorization of 5472

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

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

LCM = 7480224 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 1367

Step 4: Therefore, the least common multiple of 5468 and 5472 is 7480224.