Least Common Multiple of 461 and 466

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 466 the smallest integer that is 214826 that is divisible by both numbers.

Least Common Multiple (LCM) of 461 and 466 is 214826.

LCM(461,466) = 214826

LCM of 461 and 466

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

LCM of:
and

Least Common Multiple of 461 and 466

LCM of 461 and 466 is 214826

Least common multiple can be found by multiplying the highest exponent prime factors of 461 and 466. First we will calculate the prime factors of 461 and 466.

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 466


2 466
233 233
1

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

466 = 21×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 461 and 466.

LCM(461,466) = 21×2331×4611
LCM(461,466) = 214826

Factors of 461

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

1, 461

Factors of 466

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

1, 2, 233, 466

Least Common Multiple of 461 and 466 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 466, than apply into the LCM equation.

GCF(461,466) = 1
LCM(461,466) = ( 461 × 466) / 1
LCM(461,466) = 214826 / 1
LCM(461,466) = 214826

Properties of LCM 461 and 466

(i) The LCM of 466 and 461 is associative

LCM of 461 and 466 = LCM of 466 and 461

Related Least Common Multiples of 461

Related Least Common Multiples of 466

Frequently Asked Questions on LCM of 461 and 466

1. What is the LCM of 461 and 466?

Answer: LCM of 461 and 466 is 214826.

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 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.

4. How to Find the LCM of 461 and 466?

Answer:

Least Common Multiple of 461 and 466 = 214826

Step 1: Find the prime factorization of 461

461 = 461

Step 2: Find the prime factorization of 466

466 = 2 x 233

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

LCM = 214826 = 2 x 233 x 461

Step 4: Therefore, the least common multiple of 461 and 466 is 214826.