Least Common Multiple of 4456 and 4463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4456 and 4463 the smallest integer that is 19887128 that is divisible by both numbers.

Least Common Multiple (LCM) of 4456 and 4463 is 19887128.

LCM(4456,4463) = 19887128

LCM of 4456 and 4463

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

LCM of:
and

Least Common Multiple of 4456 and 4463

LCM of 4456 and 4463 is 19887128

Least common multiple can be found by multiplying the highest exponent prime factors of 4456 and 4463. First we will calculate the prime factors of 4456 and 4463.

Prime Factorization of 4456


2 4456
2 2228
2 1114
557 557
1

Prime factors of 4456 are 2,557. Prime factorization of 4456 in exponential form is:

4456 = 23×5571

Prime Factorization of 4463


4463 4463
1

Prime factors of 4463 are 4463. Prime factorization of 4463 in exponential form is:

4463 = 44631

Now multiplying the highest exponent prime factors to calculate the LCM of 4456 and 4463.

LCM(4456,4463) = 23×5571×44631
LCM(4456,4463) = 19887128

Factors of 4456

List of positive integer factors of 4456 that divides 4456 without a remainder.

1, 2, 4, 8, 557, 1114, 2228, 4456

Factors of 4463

List of positive integer factors of 4463 that divides 4463 without a remainder.

1, 4463

Least Common Multiple of 4456 and 4463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4456 and 4463, than apply into the LCM equation.

GCF(4456,4463) = 1
LCM(4456,4463) = ( 4456 × 4463) / 1
LCM(4456,4463) = 19887128 / 1
LCM(4456,4463) = 19887128

Properties of LCM 4456 and 4463

(i) The LCM of 4463 and 4456 is associative

LCM of 4456 and 4463 = LCM of 4463 and 4456

Related Least Common Multiples of 4456

Related Least Common Multiples of 4463

Frequently Asked Questions on LCM of 4456 and 4463

1. What is the LCM of 4456 and 4463?

Answer: LCM of 4456 and 4463 is 19887128.

2. What are the Factors of 4456?

Answer: Factors of 4456 are 1, 2, 4, 8, 557, 1114, 2228, 4456. There are 8 integers that are factors of 4456. The greatest factor of 4456 is 4456.

3. What are the Factors of 4463?

Answer: Factors of 4463 are 1, 4463. There are 2 integers that are factors of 4463. The greatest factor of 4463 is 4463.

4. How to Find the LCM of 4456 and 4463?

Answer:

Least Common Multiple of 4456 and 4463 = 19887128

Step 1: Find the prime factorization of 4456

4456 = 2 x 2 x 2 x 557

Step 2: Find the prime factorization of 4463

4463 = 4463

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

LCM = 19887128 = 2 x 2 x 2 x 557 x 4463

Step 4: Therefore, the least common multiple of 4456 and 4463 is 19887128.