Least Common Multiple of 5463 and 5467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5463 and 5467 the smallest integer that is 29866221 that is divisible by both numbers.

Least Common Multiple (LCM) of 5463 and 5467 is 29866221.

LCM(5463,5467) = 29866221

LCM of 5463 and 5467

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

LCM of:
and

Least Common Multiple of 5463 and 5467

LCM of 5463 and 5467 is 29866221

Least common multiple can be found by multiplying the highest exponent prime factors of 5463 and 5467. First we will calculate the prime factors of 5463 and 5467.

Prime Factorization of 5463


3 5463
3 1821
607 607
1

Prime factors of 5463 are 3,607. Prime factorization of 5463 in exponential form is:

5463 = 32×6071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5463 and 5467.

LCM(5463,5467) = 32×71×111×711×6071
LCM(5463,5467) = 29866221

Factors of 5463

List of positive integer factors of 5463 that divides 5463 without a remainder.

1, 3, 9, 607, 1821, 5463

Factors of 5467

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

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

Least Common Multiple of 5463 and 5467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5463 and 5467, than apply into the LCM equation.

GCF(5463,5467) = 1
LCM(5463,5467) = ( 5463 × 5467) / 1
LCM(5463,5467) = 29866221 / 1
LCM(5463,5467) = 29866221

Properties of LCM 5463 and 5467

(i) The LCM of 5467 and 5463 is associative

LCM of 5463 and 5467 = LCM of 5467 and 5463

Related Least Common Multiples of 5463

Related Least Common Multiples of 5467

Frequently Asked Questions on LCM of 5463 and 5467

1. What is the LCM of 5463 and 5467?

Answer: LCM of 5463 and 5467 is 29866221.

2. What are the Factors of 5463?

Answer: Factors of 5463 are 1, 3, 9, 607, 1821, 5463. There are 6 integers that are factors of 5463. The greatest factor of 5463 is 5463.

3. 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.

4. How to Find the LCM of 5463 and 5467?

Answer:

Least Common Multiple of 5463 and 5467 = 29866221

Step 1: Find the prime factorization of 5463

5463 = 3 x 3 x 607

Step 2: Find the prime factorization of 5467

5467 = 7 x 11 x 71

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

LCM = 29866221 = 3 x 3 x 7 x 11 x 71 x 607

Step 4: Therefore, the least common multiple of 5463 and 5467 is 29866221.