Least Common Multiple of 461 and 464

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 464 the smallest integer that is 213904 that is divisible by both numbers.

Least Common Multiple (LCM) of 461 and 464 is 213904.

LCM(461,464) = 213904

LCM of 461 and 464

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

LCM of:
and

Least Common Multiple of 461 and 464

LCM of 461 and 464 is 213904

Least common multiple can be found by multiplying the highest exponent prime factors of 461 and 464. First we will calculate the prime factors of 461 and 464.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 461 and 464.

LCM(461,464) = 24×291×4611
LCM(461,464) = 213904

Factors of 461

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

1, 461

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

Least Common Multiple of 461 and 464 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 464, than apply into the LCM equation.

GCF(461,464) = 1
LCM(461,464) = ( 461 × 464) / 1
LCM(461,464) = 213904 / 1
LCM(461,464) = 213904

Properties of LCM 461 and 464

(i) The LCM of 464 and 461 is associative

LCM of 461 and 464 = LCM of 464 and 461

Related Least Common Multiples of 461

Related Least Common Multiples of 464

Frequently Asked Questions on LCM of 461 and 464

1. What is the LCM of 461 and 464?

Answer: LCM of 461 and 464 is 213904.

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 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.

4. How to Find the LCM of 461 and 464?

Answer:

Least Common Multiple of 461 and 464 = 213904

Step 1: Find the prime factorization of 461

461 = 461

Step 2: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 213904 = 2 x 2 x 2 x 2 x 29 x 461

Step 4: Therefore, the least common multiple of 461 and 464 is 213904.