Least Common Multiple of 8464 and 8471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8464 and 8471 the smallest integer that is 71698544 that is divisible by both numbers.

Least Common Multiple (LCM) of 8464 and 8471 is 71698544.

LCM(8464,8471) = 71698544

LCM of 8464 and 8471

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

LCM of:
and

Least Common Multiple of 8464 and 8471

LCM of 8464 and 8471 is 71698544

Least common multiple can be found by multiplying the highest exponent prime factors of 8464 and 8471. First we will calculate the prime factors of 8464 and 8471.

Prime Factorization of 8464


2 8464
2 4232
2 2116
2 1058
23 529
23 23
1

Prime factors of 8464 are 2,23. Prime factorization of 8464 in exponential form is:

8464 = 24×232

Prime Factorization of 8471


43 8471
197 197
1

Prime factors of 8471 are 43,197. Prime factorization of 8471 in exponential form is:

8471 = 431×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 8464 and 8471.

LCM(8464,8471) = 24×232×431×1971
LCM(8464,8471) = 71698544

Factors of 8464

List of positive integer factors of 8464 that divides 8464 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232, 8464

Factors of 8471

List of positive integer factors of 8471 that divides 8471 without a remainder.

1, 43, 197, 8471

Least Common Multiple of 8464 and 8471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8464 and 8471, than apply into the LCM equation.

GCF(8464,8471) = 1
LCM(8464,8471) = ( 8464 × 8471) / 1
LCM(8464,8471) = 71698544 / 1
LCM(8464,8471) = 71698544

Properties of LCM 8464 and 8471

(i) The LCM of 8471 and 8464 is associative

LCM of 8464 and 8471 = LCM of 8471 and 8464

Related Least Common Multiples of 8464

Related Least Common Multiples of 8471

Frequently Asked Questions on LCM of 8464 and 8471

1. What is the LCM of 8464 and 8471?

Answer: LCM of 8464 and 8471 is 71698544.

2. What are the Factors of 8464?

Answer: Factors of 8464 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232, 8464. There are 15 integers that are factors of 8464. The greatest factor of 8464 is 8464.

3. What are the Factors of 8471?

Answer: Factors of 8471 are 1, 43, 197, 8471. There are 4 integers that are factors of 8471. The greatest factor of 8471 is 8471.

4. How to Find the LCM of 8464 and 8471?

Answer:

Least Common Multiple of 8464 and 8471 = 71698544

Step 1: Find the prime factorization of 8464

8464 = 2 x 2 x 2 x 2 x 23 x 23

Step 2: Find the prime factorization of 8471

8471 = 43 x 197

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

LCM = 71698544 = 2 x 2 x 2 x 2 x 23 x 23 x 43 x 197

Step 4: Therefore, the least common multiple of 8464 and 8471 is 71698544.