Least Common Multiple of 461 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 461 and 468 the smallest integer that is 215748 that is divisible by both numbers.

Least Common Multiple (LCM) of 461 and 468 is 215748.

LCM(461,468) = 215748

LCM of 461 and 468

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

LCM of:
and

Least Common Multiple of 461 and 468

LCM of 461 and 468 is 215748

Least common multiple can be found by multiplying the highest exponent prime factors of 461 and 468. First we will calculate the prime factors of 461 and 468.

Prime Factorization of 461


461 461
1

Prime factors of 461 are 461. Prime factorization of 461 in exponential form is:

461 = 4611

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 461 and 468.

LCM(461,468) = 22×32×131×4611
LCM(461,468) = 215748

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1, 461

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 461 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 461 and 468, than apply into the LCM equation.

GCF(461,468) = 1
LCM(461,468) = ( 461 × 468) / 1
LCM(461,468) = 215748 / 1
LCM(461,468) = 215748

Properties of LCM 461 and 468

(i) The LCM of 468 and 461 is associative

LCM of 461 and 468 = LCM of 468 and 461

Related Least Common Multiples of 461

Related Least Common Multiples of 468

Frequently Asked Questions on LCM of 461 and 468

1. What is the LCM of 461 and 468?

Answer: LCM of 461 and 468 is 215748.

2. What are the Factors of 461?

Answer: Factors of 461 are 1, 461. There are 2 integers that are factors of 461. The greatest factor of 461 is 461.

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 461 and 468?

Answer:

Least Common Multiple of 461 and 468 = 215748

Step 1: Find the prime factorization of 461

461 = 461

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 = 215748 = 2 x 2 x 3 x 3 x 13 x 461

Step 4: Therefore, the least common multiple of 461 and 468 is 215748.