Least Common Multiple of 5467 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 5467 and 5472 the smallest integer that is 29915424 that is divisible by both numbers.

Least Common Multiple (LCM) of 5467 and 5472 is 29915424.

LCM(5467,5472) = 29915424

LCM of 5467 and 5472

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

LCM of:
and

Least Common Multiple of 5467 and 5472

LCM of 5467 and 5472 is 29915424

Least common multiple can be found by multiplying the highest exponent prime factors of 5467 and 5472. First we will calculate the prime factors of 5467 and 5472.

Prime Factorization of 5467


7 5467
11 781
71 71
1

Prime factors of 5467 are 7, 11,71. Prime factorization of 5467 in exponential form is:

5467 = 71×111×711

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 5467 and 5472.

LCM(5467,5472) = 25×32×71×111×191×711
LCM(5467,5472) = 29915424

Factors of 5467

List of positive integer factors of 5467 that divides 5467 without a remainder.

1, 7, 11, 71, 77, 497, 781, 5467

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 5467 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 5467 and 5472, than apply into the LCM equation.

GCF(5467,5472) = 1
LCM(5467,5472) = ( 5467 × 5472) / 1
LCM(5467,5472) = 29915424 / 1
LCM(5467,5472) = 29915424

Properties of LCM 5467 and 5472

(i) The LCM of 5472 and 5467 is associative

LCM of 5467 and 5472 = LCM of 5472 and 5467

Related Least Common Multiples of 5467

Related Least Common Multiples of 5472

Frequently Asked Questions on LCM of 5467 and 5472

1. What is the LCM of 5467 and 5472?

Answer: LCM of 5467 and 5472 is 29915424.

2. What are the Factors of 5467?

Answer: Factors of 5467 are 1, 7, 11, 71, 77, 497, 781, 5467. There are 8 integers that are factors of 5467. The greatest factor of 5467 is 5467.

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 5467 and 5472?

Answer:

Least Common Multiple of 5467 and 5472 = 29915424

Step 1: Find the prime factorization of 5467

5467 = 7 x 11 x 71

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 = 29915424 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 19 x 71

Step 4: Therefore, the least common multiple of 5467 and 5472 is 29915424.