Least Common Multiple of 4864 and 4870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4864 and 4870 the smallest integer that is 11843840 that is divisible by both numbers.

Least Common Multiple (LCM) of 4864 and 4870 is 11843840.

LCM(4864,4870) = 11843840

LCM of 4864 and 4870

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

LCM of:
and

Least Common Multiple of 4864 and 4870

LCM of 4864 and 4870 is 11843840

Least common multiple can be found by multiplying the highest exponent prime factors of 4864 and 4870. First we will calculate the prime factors of 4864 and 4870.

Prime Factorization of 4864


2 4864
2 2432
2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 4864 are 2,19. Prime factorization of 4864 in exponential form is:

4864 = 28×191

Prime Factorization of 4870


2 4870
5 2435
487 487
1

Prime factors of 4870 are 2, 5,487. Prime factorization of 4870 in exponential form is:

4870 = 21×51×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 4864 and 4870.

LCM(4864,4870) = 28×51×191×4871
LCM(4864,4870) = 11843840

Factors of 4864

List of positive integer factors of 4864 that divides 4864 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 608, 1216, 2432, 4864

Factors of 4870

List of positive integer factors of 4870 that divides 4870 without a remainder.

1, 2, 5, 10, 487, 974, 2435, 4870

Least Common Multiple of 4864 and 4870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4864 and 4870, than apply into the LCM equation.

GCF(4864,4870) = 2
LCM(4864,4870) = ( 4864 × 4870) / 2
LCM(4864,4870) = 23687680 / 2
LCM(4864,4870) = 11843840

Properties of LCM 4864 and 4870

(i) The LCM of 4870 and 4864 is associative

LCM of 4864 and 4870 = LCM of 4870 and 4864

Related Least Common Multiples of 4864

Related Least Common Multiples of 4870

Frequently Asked Questions on LCM of 4864 and 4870

1. What is the LCM of 4864 and 4870?

Answer: LCM of 4864 and 4870 is 11843840.

2. What are the Factors of 4864?

Answer: Factors of 4864 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 608, 1216, 2432, 4864. There are 18 integers that are factors of 4864. The greatest factor of 4864 is 4864.

3. What are the Factors of 4870?

Answer: Factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870. There are 8 integers that are factors of 4870. The greatest factor of 4870 is 4870.

4. How to Find the LCM of 4864 and 4870?

Answer:

Least Common Multiple of 4864 and 4870 = 11843840

Step 1: Find the prime factorization of 4864

4864 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 4870

4870 = 2 x 5 x 487

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

LCM = 11843840 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 x 487

Step 4: Therefore, the least common multiple of 4864 and 4870 is 11843840.