Least Common Multiple of 2464 and 2471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2464 and 2471 the smallest integer that is 869792 that is divisible by both numbers.

Least Common Multiple (LCM) of 2464 and 2471 is 869792.

LCM(2464,2471) = 869792

LCM of 2464 and 2471

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

LCM of:
and

Least Common Multiple of 2464 and 2471

LCM of 2464 and 2471 is 869792

Least common multiple can be found by multiplying the highest exponent prime factors of 2464 and 2471. First we will calculate the prime factors of 2464 and 2471.

Prime Factorization of 2464


2 2464
2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 2464 are 2, 7,11. Prime factorization of 2464 in exponential form is:

2464 = 25×71×111

Prime Factorization of 2471


7 2471
353 353
1

Prime factors of 2471 are 7,353. Prime factorization of 2471 in exponential form is:

2471 = 71×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 2464 and 2471.

LCM(2464,2471) = 25×71×111×3531
LCM(2464,2471) = 869792

Factors of 2464

List of positive integer factors of 2464 that divides 2464 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464

Factors of 2471

List of positive integer factors of 2471 that divides 2471 without a remainder.

1, 7, 353, 2471

Least Common Multiple of 2464 and 2471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2464 and 2471, than apply into the LCM equation.

GCF(2464,2471) = 7
LCM(2464,2471) = ( 2464 × 2471) / 7
LCM(2464,2471) = 6088544 / 7
LCM(2464,2471) = 869792

Properties of LCM 2464 and 2471

(i) The LCM of 2471 and 2464 is associative

LCM of 2464 and 2471 = LCM of 2471 and 2464

Related Least Common Multiples of 2464

Related Least Common Multiples of 2471

Frequently Asked Questions on LCM of 2464 and 2471

1. What is the LCM of 2464 and 2471?

Answer: LCM of 2464 and 2471 is 869792.

2. What are the Factors of 2464?

Answer: Factors of 2464 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464. There are 24 integers that are factors of 2464. The greatest factor of 2464 is 2464.

3. What are the Factors of 2471?

Answer: Factors of 2471 are 1, 7, 353, 2471. There are 4 integers that are factors of 2471. The greatest factor of 2471 is 2471.

4. How to Find the LCM of 2464 and 2471?

Answer:

Least Common Multiple of 2464 and 2471 = 869792

Step 1: Find the prime factorization of 2464

2464 = 2 x 2 x 2 x 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 2471

2471 = 7 x 353

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

LCM = 869792 = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 353

Step 4: Therefore, the least common multiple of 2464 and 2471 is 869792.