Least Common Multiple of 4463 and 4469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4463 and 4469 the smallest integer that is 19945147 that is divisible by both numbers.

Least Common Multiple (LCM) of 4463 and 4469 is 19945147.

LCM(4463,4469) = 19945147

LCM of 4463 and 4469

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

LCM of:
and

Least Common Multiple of 4463 and 4469

LCM of 4463 and 4469 is 19945147

Least common multiple can be found by multiplying the highest exponent prime factors of 4463 and 4469. First we will calculate the prime factors of 4463 and 4469.

Prime Factorization of 4463


4463 4463
1

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

4463 = 44631

Prime Factorization of 4469


41 4469
109 109
1

Prime factors of 4469 are 41,109. Prime factorization of 4469 in exponential form is:

4469 = 411×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4463 and 4469.

LCM(4463,4469) = 411×1091×44631
LCM(4463,4469) = 19945147

Factors of 4463

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

1, 4463

Factors of 4469

List of positive integer factors of 4469 that divides 4469 without a remainder.

1, 41, 109, 4469

Least Common Multiple of 4463 and 4469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4463 and 4469, than apply into the LCM equation.

GCF(4463,4469) = 1
LCM(4463,4469) = ( 4463 × 4469) / 1
LCM(4463,4469) = 19945147 / 1
LCM(4463,4469) = 19945147

Properties of LCM 4463 and 4469

(i) The LCM of 4469 and 4463 is associative

LCM of 4463 and 4469 = LCM of 4469 and 4463

Related Least Common Multiples of 4463

Related Least Common Multiples of 4469

Frequently Asked Questions on LCM of 4463 and 4469

1. What is the LCM of 4463 and 4469?

Answer: LCM of 4463 and 4469 is 19945147.

2. 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.

3. What are the Factors of 4469?

Answer: Factors of 4469 are 1, 41, 109, 4469. There are 4 integers that are factors of 4469. The greatest factor of 4469 is 4469.

4. How to Find the LCM of 4463 and 4469?

Answer:

Least Common Multiple of 4463 and 4469 = 19945147

Step 1: Find the prime factorization of 4463

4463 = 4463

Step 2: Find the prime factorization of 4469

4469 = 41 x 109

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

LCM = 19945147 = 41 x 109 x 4463

Step 4: Therefore, the least common multiple of 4463 and 4469 is 19945147.