Least Common Multiple of 467 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 467 and 468 the smallest integer that is 218556 that is divisible by both numbers.

Least Common Multiple (LCM) of 467 and 468 is 218556.

LCM(467,468) = 218556

LCM of 467 and 468

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

LCM of:
and

Least Common Multiple of 467 and 468

LCM of 467 and 468 is 218556

Least common multiple can be found by multiplying the highest exponent prime factors of 467 and 468. First we will calculate the prime factors of 467 and 468.

Prime Factorization of 467


467 467
1

Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:

467 = 4671

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 467 and 468.

LCM(467,468) = 22×32×131×4671
LCM(467,468) = 218556

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1, 467

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 467 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 467 and 468, than apply into the LCM equation.

GCF(467,468) = 1
LCM(467,468) = ( 467 × 468) / 1
LCM(467,468) = 218556 / 1
LCM(467,468) = 218556

Properties of LCM 467 and 468

(i) The LCM of 468 and 467 is associative

LCM of 467 and 468 = LCM of 468 and 467

Related Least Common Multiples of 467

Related Least Common Multiples of 468

Frequently Asked Questions on LCM of 467 and 468

1. What is the LCM of 467 and 468?

Answer: LCM of 467 and 468 is 218556.

2. What are the Factors of 467?

Answer: Factors of 467 are 1, 467. There are 2 integers that are factors of 467. The greatest factor of 467 is 467.

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 467 and 468?

Answer:

Least Common Multiple of 467 and 468 = 218556

Step 1: Find the prime factorization of 467

467 = 467

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 = 218556 = 2 x 2 x 3 x 3 x 13 x 467

Step 4: Therefore, the least common multiple of 467 and 468 is 218556.