Least Common Multiple of 463 and 469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 463 and 469 the smallest integer that is 217147 that is divisible by both numbers.

Least Common Multiple (LCM) of 463 and 469 is 217147.

LCM(463,469) = 217147

LCM of 463 and 469

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

LCM of:
and

Least Common Multiple of 463 and 469

LCM of 463 and 469 is 217147

Least common multiple can be found by multiplying the highest exponent prime factors of 463 and 469. First we will calculate the prime factors of 463 and 469.

Prime Factorization of 463


463 463
1

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 4631

Prime Factorization of 469


7 469
67 67
1

Prime factors of 469 are 7,67. Prime factorization of 469 in exponential form is:

469 = 71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 463 and 469.

LCM(463,469) = 71×671×4631
LCM(463,469) = 217147

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1, 463

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Least Common Multiple of 463 and 469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 463 and 469, than apply into the LCM equation.

GCF(463,469) = 1
LCM(463,469) = ( 463 × 469) / 1
LCM(463,469) = 217147 / 1
LCM(463,469) = 217147

Properties of LCM 463 and 469

(i) The LCM of 469 and 463 is associative

LCM of 463 and 469 = LCM of 469 and 463

Related Least Common Multiples of 463

Related Least Common Multiples of 469

Frequently Asked Questions on LCM of 463 and 469

1. What is the LCM of 463 and 469?

Answer: LCM of 463 and 469 is 217147.

2. What are the Factors of 463?

Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.

3. What are the Factors of 469?

Answer: Factors of 469 are 1, 7, 67, 469. There are 4 integers that are factors of 469. The greatest factor of 469 is 469.

4. How to Find the LCM of 463 and 469?

Answer:

Least Common Multiple of 463 and 469 = 217147

Step 1: Find the prime factorization of 463

463 = 463

Step 2: Find the prime factorization of 469

469 = 7 x 67

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

LCM = 217147 = 7 x 67 x 463

Step 4: Therefore, the least common multiple of 463 and 469 is 217147.