Least Common Multiple of 8461 and 8468

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 8468 the smallest integer that is 71647748 that is divisible by both numbers.

Least Common Multiple (LCM) of 8461 and 8468 is 71647748.

LCM(8461,8468) = 71647748

LCM of 8461 and 8468

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

LCM of:
and

Least Common Multiple of 8461 and 8468

LCM of 8461 and 8468 is 71647748

Least common multiple can be found by multiplying the highest exponent prime factors of 8461 and 8468. First we will calculate the prime factors of 8461 and 8468.

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 8468


2 8468
2 4234
29 2117
73 73
1

Prime factors of 8468 are 2, 29,73. Prime factorization of 8468 in exponential form is:

8468 = 22×291×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8461 and 8468.

LCM(8461,8468) = 22×291×731×84611
LCM(8461,8468) = 71647748

Factors of 8461

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

1, 8461

Factors of 8468

List of positive integer factors of 8468 that divides 8468 without a remainder.

1, 2, 4, 29, 58, 73, 116, 146, 292, 2117, 4234, 8468

Least Common Multiple of 8461 and 8468 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 8468, than apply into the LCM equation.

GCF(8461,8468) = 1
LCM(8461,8468) = ( 8461 × 8468) / 1
LCM(8461,8468) = 71647748 / 1
LCM(8461,8468) = 71647748

Properties of LCM 8461 and 8468

(i) The LCM of 8468 and 8461 is associative

LCM of 8461 and 8468 = LCM of 8468 and 8461

Related Least Common Multiples of 8461

Related Least Common Multiples of 8468

Frequently Asked Questions on LCM of 8461 and 8468

1. What is the LCM of 8461 and 8468?

Answer: LCM of 8461 and 8468 is 71647748.

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 8468?

Answer: Factors of 8468 are 1, 2, 4, 29, 58, 73, 116, 146, 292, 2117, 4234, 8468. There are 12 integers that are factors of 8468. The greatest factor of 8468 is 8468.

4. How to Find the LCM of 8461 and 8468?

Answer:

Least Common Multiple of 8461 and 8468 = 71647748

Step 1: Find the prime factorization of 8461

8461 = 8461

Step 2: Find the prime factorization of 8468

8468 = 2 x 2 x 29 x 73

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

LCM = 71647748 = 2 x 2 x 29 x 73 x 8461

Step 4: Therefore, the least common multiple of 8461 and 8468 is 71647748.