Least Common Multiple of 461 and 467

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 467 the smallest integer that is 215287 that is divisible by both numbers.

Least Common Multiple (LCM) of 461 and 467 is 215287.

LCM(461,467) = 215287

LCM of 461 and 467

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

LCM of:
and

Least Common Multiple of 461 and 467

LCM of 461 and 467 is 215287

Least common multiple can be found by multiplying the highest exponent prime factors of 461 and 467. First we will calculate the prime factors of 461 and 467.

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 467


467 467
1

Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:

467 = 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 461 and 467.

LCM(461,467) = 4611×4671
LCM(461,467) = 215287

Factors of 461

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

1, 461

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1, 467

Least Common Multiple of 461 and 467 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 467, than apply into the LCM equation.

GCF(461,467) = 1
LCM(461,467) = ( 461 × 467) / 1
LCM(461,467) = 215287 / 1
LCM(461,467) = 215287

Properties of LCM 461 and 467

(i) The LCM of 467 and 461 is associative

LCM of 461 and 467 = LCM of 467 and 461

Related Least Common Multiples of 461

Related Least Common Multiples of 467

Frequently Asked Questions on LCM of 461 and 467

1. What is the LCM of 461 and 467?

Answer: LCM of 461 and 467 is 215287.

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 467?

Answer: Factors of 467 are 1, 467. There are 2 integers that are factors of 467. The greatest factor of 467 is 467.

4. How to Find the LCM of 461 and 467?

Answer:

Least Common Multiple of 461 and 467 = 215287

Step 1: Find the prime factorization of 461

461 = 461

Step 2: Find the prime factorization of 467

467 = 467

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

LCM = 215287 = 461 x 467

Step 4: Therefore, the least common multiple of 461 and 467 is 215287.