Least Common Multiple of 463 and 468

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 468 the smallest integer that is 216684 that is divisible by both numbers.

Least Common Multiple (LCM) of 463 and 468 is 216684.

LCM(463,468) = 216684

LCM of 463 and 468

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

LCM of:
and

Least Common Multiple of 463 and 468

LCM of 463 and 468 is 216684

Least common multiple can be found by multiplying the highest exponent prime factors of 463 and 468. First we will calculate the prime factors of 463 and 468.

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 468


2 468
2 234
3 117
3 39
13 13
1

Prime factors of 468 are 2, 3,13. Prime factorization of 468 in exponential form is:

468 = 22×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 463 and 468.

LCM(463,468) = 22×32×131×4631
LCM(463,468) = 216684

Factors of 463

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

1, 463

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Least Common Multiple of 463 and 468 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 468, than apply into the LCM equation.

GCF(463,468) = 1
LCM(463,468) = ( 463 × 468) / 1
LCM(463,468) = 216684 / 1
LCM(463,468) = 216684

Properties of LCM 463 and 468

(i) The LCM of 468 and 463 is associative

LCM of 463 and 468 = LCM of 468 and 463

Related Least Common Multiples of 463

Related Least Common Multiples of 468

Frequently Asked Questions on LCM of 463 and 468

1. What is the LCM of 463 and 468?

Answer: LCM of 463 and 468 is 216684.

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 468?

Answer: Factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. There are 18 integers that are factors of 468. The greatest factor of 468 is 468.

4. How to Find the LCM of 463 and 468?

Answer:

Least Common Multiple of 463 and 468 = 216684

Step 1: Find the prime factorization of 463

463 = 463

Step 2: Find the prime factorization of 468

468 = 2 x 2 x 3 x 3 x 13

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

LCM = 216684 = 2 x 2 x 3 x 3 x 13 x 463

Step 4: Therefore, the least common multiple of 463 and 468 is 216684.