Least Common Multiple of 462 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 462 and 468 the smallest integer that is 36036 that is divisible by both numbers.

Least Common Multiple (LCM) of 462 and 468 is 36036.

LCM(462,468) = 36036

LCM of 462 and 468

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

LCM of:
and

Least Common Multiple of 462 and 468

LCM of 462 and 468 is 36036

Least common multiple can be found by multiplying the highest exponent prime factors of 462 and 468. First we will calculate the prime factors of 462 and 468.

Prime Factorization of 462


2 462
3 231
7 77
11 11
1

Prime factors of 462 are 2, 3, 7,11. Prime factorization of 462 in exponential form is:

462 = 21×31×71×111

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 462 and 468.

LCM(462,468) = 22×32×71×111×131
LCM(462,468) = 36036

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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 462 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 462 and 468, than apply into the LCM equation.

GCF(462,468) = 6
LCM(462,468) = ( 462 × 468) / 6
LCM(462,468) = 216216 / 6
LCM(462,468) = 36036

Properties of LCM 462 and 468

(i) The LCM of 468 and 462 is associative

LCM of 462 and 468 = LCM of 468 and 462

Related Least Common Multiples of 462

Related Least Common Multiples of 468

Frequently Asked Questions on LCM of 462 and 468

1. What is the LCM of 462 and 468?

Answer: LCM of 462 and 468 is 36036.

2. What are the Factors of 462?

Answer: Factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462. There are 16 integers that are factors of 462. The greatest factor of 462 is 462.

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 462 and 468?

Answer:

Least Common Multiple of 462 and 468 = 36036

Step 1: Find the prime factorization of 462

462 = 2 x 3 x 7 x 11

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 = 36036 = 2 x 2 x 3 x 3 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 462 and 468 is 36036.