Least Common Multiple of 8461 and 8467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8461 and 8467 the smallest integer that is 71639287 that is divisible by both numbers.

Least Common Multiple (LCM) of 8461 and 8467 is 71639287.

LCM(8461,8467) = 71639287

LCM of 8461 and 8467

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

LCM of:
and

Least Common Multiple of 8461 and 8467

LCM of 8461 and 8467 is 71639287

Least common multiple can be found by multiplying the highest exponent prime factors of 8461 and 8467. First we will calculate the prime factors of 8461 and 8467.

Prime Factorization of 8461


8461 8461
1

Prime factors of 8461 are 8461. Prime factorization of 8461 in exponential form is:

8461 = 84611

Prime Factorization of 8467


8467 8467
1

Prime factors of 8467 are 8467. Prime factorization of 8467 in exponential form is:

8467 = 84671

Now multiplying the highest exponent prime factors to calculate the LCM of 8461 and 8467.

LCM(8461,8467) = 84611×84671
LCM(8461,8467) = 71639287

Factors of 8461

List of positive integer factors of 8461 that divides 8461 without a remainder.

1, 8461

Factors of 8467

List of positive integer factors of 8467 that divides 8467 without a remainder.

1, 8467

Least Common Multiple of 8461 and 8467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8461 and 8467, than apply into the LCM equation.

GCF(8461,8467) = 1
LCM(8461,8467) = ( 8461 × 8467) / 1
LCM(8461,8467) = 71639287 / 1
LCM(8461,8467) = 71639287

Properties of LCM 8461 and 8467

(i) The LCM of 8467 and 8461 is associative

LCM of 8461 and 8467 = LCM of 8467 and 8461

Related Least Common Multiples of 8461

Related Least Common Multiples of 8467

Frequently Asked Questions on LCM of 8461 and 8467

1. What is the LCM of 8461 and 8467?

Answer: LCM of 8461 and 8467 is 71639287.

2. What are the Factors of 8461?

Answer: Factors of 8461 are 1, 8461. There are 2 integers that are factors of 8461. The greatest factor of 8461 is 8461.

3. What are the Factors of 8467?

Answer: Factors of 8467 are 1, 8467. There are 2 integers that are factors of 8467. The greatest factor of 8467 is 8467.

4. How to Find the LCM of 8461 and 8467?

Answer:

Least Common Multiple of 8461 and 8467 = 71639287

Step 1: Find the prime factorization of 8461

8461 = 8461

Step 2: Find the prime factorization of 8467

8467 = 8467

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

LCM = 71639287 = 8461 x 8467

Step 4: Therefore, the least common multiple of 8461 and 8467 is 71639287.