Least Common Multiple of 4865 and 4871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4865 and 4871 the smallest integer that is 23697415 that is divisible by both numbers.

Least Common Multiple (LCM) of 4865 and 4871 is 23697415.

LCM(4865,4871) = 23697415

LCM of 4865 and 4871

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

LCM of:
and

Least Common Multiple of 4865 and 4871

LCM of 4865 and 4871 is 23697415

Least common multiple can be found by multiplying the highest exponent prime factors of 4865 and 4871. First we will calculate the prime factors of 4865 and 4871.

Prime Factorization of 4865


5 4865
7 973
139 139
1

Prime factors of 4865 are 5, 7,139. Prime factorization of 4865 in exponential form is:

4865 = 51×71×1391

Prime Factorization of 4871


4871 4871
1

Prime factors of 4871 are 4871. Prime factorization of 4871 in exponential form is:

4871 = 48711

Now multiplying the highest exponent prime factors to calculate the LCM of 4865 and 4871.

LCM(4865,4871) = 51×71×1391×48711
LCM(4865,4871) = 23697415

Factors of 4865

List of positive integer factors of 4865 that divides 4865 without a remainder.

1, 5, 7, 35, 139, 695, 973, 4865

Factors of 4871

List of positive integer factors of 4871 that divides 4871 without a remainder.

1, 4871

Least Common Multiple of 4865 and 4871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4865 and 4871, than apply into the LCM equation.

GCF(4865,4871) = 1
LCM(4865,4871) = ( 4865 × 4871) / 1
LCM(4865,4871) = 23697415 / 1
LCM(4865,4871) = 23697415

Properties of LCM 4865 and 4871

(i) The LCM of 4871 and 4865 is associative

LCM of 4865 and 4871 = LCM of 4871 and 4865

Related Least Common Multiples of 4865

Related Least Common Multiples of 4871

Frequently Asked Questions on LCM of 4865 and 4871

1. What is the LCM of 4865 and 4871?

Answer: LCM of 4865 and 4871 is 23697415.

2. What are the Factors of 4865?

Answer: Factors of 4865 are 1, 5, 7, 35, 139, 695, 973, 4865. There are 8 integers that are factors of 4865. The greatest factor of 4865 is 4865.

3. What are the Factors of 4871?

Answer: Factors of 4871 are 1, 4871. There are 2 integers that are factors of 4871. The greatest factor of 4871 is 4871.

4. How to Find the LCM of 4865 and 4871?

Answer:

Least Common Multiple of 4865 and 4871 = 23697415

Step 1: Find the prime factorization of 4865

4865 = 5 x 7 x 139

Step 2: Find the prime factorization of 4871

4871 = 4871

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

LCM = 23697415 = 5 x 7 x 139 x 4871

Step 4: Therefore, the least common multiple of 4865 and 4871 is 23697415.