Least Common Multiple of 5455 and 5463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5455 and 5463 the smallest integer that is 29800665 that is divisible by both numbers.

Least Common Multiple (LCM) of 5455 and 5463 is 29800665.

LCM(5455,5463) = 29800665

LCM of 5455 and 5463

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

LCM of:
and

Least Common Multiple of 5455 and 5463

LCM of 5455 and 5463 is 29800665

Least common multiple can be found by multiplying the highest exponent prime factors of 5455 and 5463. First we will calculate the prime factors of 5455 and 5463.

Prime Factorization of 5455


5 5455
1091 1091
1

Prime factors of 5455 are 5,1091. Prime factorization of 5455 in exponential form is:

5455 = 51×10911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5455 and 5463.

LCM(5455,5463) = 32×51×6071×10911
LCM(5455,5463) = 29800665

Factors of 5455

List of positive integer factors of 5455 that divides 5455 without a remainder.

1, 5, 1091, 5455

Factors of 5463

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

1, 3, 9, 607, 1821, 5463

Least Common Multiple of 5455 and 5463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5455 and 5463, than apply into the LCM equation.

GCF(5455,5463) = 1
LCM(5455,5463) = ( 5455 × 5463) / 1
LCM(5455,5463) = 29800665 / 1
LCM(5455,5463) = 29800665

Properties of LCM 5455 and 5463

(i) The LCM of 5463 and 5455 is associative

LCM of 5455 and 5463 = LCM of 5463 and 5455

Related Least Common Multiples of 5455

Related Least Common Multiples of 5463

Frequently Asked Questions on LCM of 5455 and 5463

1. What is the LCM of 5455 and 5463?

Answer: LCM of 5455 and 5463 is 29800665.

2. What are the Factors of 5455?

Answer: Factors of 5455 are 1, 5, 1091, 5455. There are 4 integers that are factors of 5455. The greatest factor of 5455 is 5455.

3. 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.

4. How to Find the LCM of 5455 and 5463?

Answer:

Least Common Multiple of 5455 and 5463 = 29800665

Step 1: Find the prime factorization of 5455

5455 = 5 x 1091

Step 2: Find the prime factorization of 5463

5463 = 3 x 3 x 607

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

LCM = 29800665 = 3 x 3 x 5 x 607 x 1091

Step 4: Therefore, the least common multiple of 5455 and 5463 is 29800665.