Least Common Multiple of 464 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 464 and 468 the smallest integer that is 54288 that is divisible by both numbers.

Least Common Multiple (LCM) of 464 and 468 is 54288.

LCM(464,468) = 54288

LCM of 464 and 468

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

LCM of:
and

Least Common Multiple of 464 and 468

LCM of 464 and 468 is 54288

Least common multiple can be found by multiplying the highest exponent prime factors of 464 and 468. First we will calculate the prime factors of 464 and 468.

Prime Factorization of 464


2 464
2 232
2 116
2 58
29 29
1

Prime factors of 464 are 2,29. Prime factorization of 464 in exponential form is:

464 = 24×291

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 464 and 468.

LCM(464,468) = 24×32×131×291
LCM(464,468) = 54288

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 464 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 464 and 468, than apply into the LCM equation.

GCF(464,468) = 4
LCM(464,468) = ( 464 × 468) / 4
LCM(464,468) = 217152 / 4
LCM(464,468) = 54288

Properties of LCM 464 and 468

(i) The LCM of 468 and 464 is associative

LCM of 464 and 468 = LCM of 468 and 464

Related Least Common Multiples of 464

Related Least Common Multiples of 468

Frequently Asked Questions on LCM of 464 and 468

1. What is the LCM of 464 and 468?

Answer: LCM of 464 and 468 is 54288.

2. What are the Factors of 464?

Answer: Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. There are 10 integers that are factors of 464. The greatest factor of 464 is 464.

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 464 and 468?

Answer:

Least Common Multiple of 464 and 468 = 54288

Step 1: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

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 = 54288 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 29

Step 4: Therefore, the least common multiple of 464 and 468 is 54288.