Least Common Multiple of 8461 and 8465

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 8465 the smallest integer that is 71622365 that is divisible by both numbers.

Least Common Multiple (LCM) of 8461 and 8465 is 71622365.

LCM(8461,8465) = 71622365

LCM of 8461 and 8465

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

LCM of:
and

Least Common Multiple of 8461 and 8465

LCM of 8461 and 8465 is 71622365

Least common multiple can be found by multiplying the highest exponent prime factors of 8461 and 8465. First we will calculate the prime factors of 8461 and 8465.

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 8465


5 8465
1693 1693
1

Prime factors of 8465 are 5,1693. Prime factorization of 8465 in exponential form is:

8465 = 51×16931

Now multiplying the highest exponent prime factors to calculate the LCM of 8461 and 8465.

LCM(8461,8465) = 51×16931×84611
LCM(8461,8465) = 71622365

Factors of 8461

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

1, 8461

Factors of 8465

List of positive integer factors of 8465 that divides 8465 without a remainder.

1, 5, 1693, 8465

Least Common Multiple of 8461 and 8465 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 8465, than apply into the LCM equation.

GCF(8461,8465) = 1
LCM(8461,8465) = ( 8461 × 8465) / 1
LCM(8461,8465) = 71622365 / 1
LCM(8461,8465) = 71622365

Properties of LCM 8461 and 8465

(i) The LCM of 8465 and 8461 is associative

LCM of 8461 and 8465 = LCM of 8465 and 8461

Related Least Common Multiples of 8461

Related Least Common Multiples of 8465

Frequently Asked Questions on LCM of 8461 and 8465

1. What is the LCM of 8461 and 8465?

Answer: LCM of 8461 and 8465 is 71622365.

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 8465?

Answer: Factors of 8465 are 1, 5, 1693, 8465. There are 4 integers that are factors of 8465. The greatest factor of 8465 is 8465.

4. How to Find the LCM of 8461 and 8465?

Answer:

Least Common Multiple of 8461 and 8465 = 71622365

Step 1: Find the prime factorization of 8461

8461 = 8461

Step 2: Find the prime factorization of 8465

8465 = 5 x 1693

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

LCM = 71622365 = 5 x 1693 x 8461

Step 4: Therefore, the least common multiple of 8461 and 8465 is 71622365.