Least Common Multiple of 5467 and 5474

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 5474 the smallest integer that is 4275194 that is divisible by both numbers.

Least Common Multiple (LCM) of 5467 and 5474 is 4275194.

LCM(5467,5474) = 4275194

LCM of 5467 and 5474

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

LCM of:
and

Least Common Multiple of 5467 and 5474

LCM of 5467 and 5474 is 4275194

Least common multiple can be found by multiplying the highest exponent prime factors of 5467 and 5474. First we will calculate the prime factors of 5467 and 5474.

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 5474


2 5474
7 2737
17 391
23 23
1

Prime factors of 5474 are 2, 7, 17,23. Prime factorization of 5474 in exponential form is:

5474 = 21×71×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5467 and 5474.

LCM(5467,5474) = 21×71×111×171×231×711
LCM(5467,5474) = 4275194

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 5474

List of positive integer factors of 5474 that divides 5474 without a remainder.

1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474

Least Common Multiple of 5467 and 5474 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 5474, than apply into the LCM equation.

GCF(5467,5474) = 7
LCM(5467,5474) = ( 5467 × 5474) / 7
LCM(5467,5474) = 29926358 / 7
LCM(5467,5474) = 4275194

Properties of LCM 5467 and 5474

(i) The LCM of 5474 and 5467 is associative

LCM of 5467 and 5474 = LCM of 5474 and 5467

Related Least Common Multiples of 5467

Related Least Common Multiples of 5474

Frequently Asked Questions on LCM of 5467 and 5474

1. What is the LCM of 5467 and 5474?

Answer: LCM of 5467 and 5474 is 4275194.

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 5474?

Answer: Factors of 5474 are 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474. There are 16 integers that are factors of 5474. The greatest factor of 5474 is 5474.

4. How to Find the LCM of 5467 and 5474?

Answer:

Least Common Multiple of 5467 and 5474 = 4275194

Step 1: Find the prime factorization of 5467

5467 = 7 x 11 x 71

Step 2: Find the prime factorization of 5474

5474 = 2 x 7 x 17 x 23

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

LCM = 4275194 = 2 x 7 x 11 x 17 x 23 x 71

Step 4: Therefore, the least common multiple of 5467 and 5474 is 4275194.