Least Common Multiple of 4870 and 4875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4870 and 4875 the smallest integer that is 4748250 that is divisible by both numbers.

Least Common Multiple (LCM) of 4870 and 4875 is 4748250.

LCM(4870,4875) = 4748250

LCM of 4870 and 4875

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

LCM of:
and

Least Common Multiple of 4870 and 4875

LCM of 4870 and 4875 is 4748250

Least common multiple can be found by multiplying the highest exponent prime factors of 4870 and 4875. First we will calculate the prime factors of 4870 and 4875.

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

Prime Factorization of 4875


3 4875
5 1625
5 325
5 65
13 13
1

Prime factors of 4875 are 3, 5,13. Prime factorization of 4875 in exponential form is:

4875 = 31×53×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4870 and 4875.

LCM(4870,4875) = 21×31×53×131×4871
LCM(4870,4875) = 4748250

Factors of 4870

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

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

Factors of 4875

List of positive integer factors of 4875 that divides 4875 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875

Least Common Multiple of 4870 and 4875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4870 and 4875, than apply into the LCM equation.

GCF(4870,4875) = 5
LCM(4870,4875) = ( 4870 × 4875) / 5
LCM(4870,4875) = 23741250 / 5
LCM(4870,4875) = 4748250

Properties of LCM 4870 and 4875

(i) The LCM of 4875 and 4870 is associative

LCM of 4870 and 4875 = LCM of 4875 and 4870

Related Least Common Multiples of 4870

Related Least Common Multiples of 4875

Frequently Asked Questions on LCM of 4870 and 4875

1. What is the LCM of 4870 and 4875?

Answer: LCM of 4870 and 4875 is 4748250.

2. 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.

3. What are the Factors of 4875?

Answer: Factors of 4875 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875. There are 16 integers that are factors of 4875. The greatest factor of 4875 is 4875.

4. How to Find the LCM of 4870 and 4875?

Answer:

Least Common Multiple of 4870 and 4875 = 4748250

Step 1: Find the prime factorization of 4870

4870 = 2 x 5 x 487

Step 2: Find the prime factorization of 4875

4875 = 3 x 5 x 5 x 5 x 13

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

LCM = 4748250 = 2 x 3 x 5 x 5 x 5 x 13 x 487

Step 4: Therefore, the least common multiple of 4870 and 4875 is 4748250.