Least Common Multiple of 466 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 466 and 468 the smallest integer that is 109044 that is divisible by both numbers.

Least Common Multiple (LCM) of 466 and 468 is 109044.

LCM(466,468) = 109044

LCM of 466 and 468

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

LCM of:
and

Least Common Multiple of 466 and 468

LCM of 466 and 468 is 109044

Least common multiple can be found by multiplying the highest exponent prime factors of 466 and 468. First we will calculate the prime factors of 466 and 468.

Prime Factorization of 466


2 466
233 233
1

Prime factors of 466 are 2,233. Prime factorization of 466 in exponential form is:

466 = 21×2331

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 466 and 468.

LCM(466,468) = 22×32×131×2331
LCM(466,468) = 109044

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1, 2, 233, 466

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 466 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 466 and 468, than apply into the LCM equation.

GCF(466,468) = 2
LCM(466,468) = ( 466 × 468) / 2
LCM(466,468) = 218088 / 2
LCM(466,468) = 109044

Properties of LCM 466 and 468

(i) The LCM of 468 and 466 is associative

LCM of 466 and 468 = LCM of 468 and 466

Related Least Common Multiples of 466

Related Least Common Multiples of 468

Frequently Asked Questions on LCM of 466 and 468

1. What is the LCM of 466 and 468?

Answer: LCM of 466 and 468 is 109044.

2. What are the Factors of 466?

Answer: Factors of 466 are 1, 2, 233, 466. There are 4 integers that are factors of 466. The greatest factor of 466 is 466.

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 466 and 468?

Answer:

Least Common Multiple of 466 and 468 = 109044

Step 1: Find the prime factorization of 466

466 = 2 x 233

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 = 109044 = 2 x 2 x 3 x 3 x 13 x 233

Step 4: Therefore, the least common multiple of 466 and 468 is 109044.