Least Common Multiple of 4861 and 4867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4861 and 4867 the smallest integer that is 23658487 that is divisible by both numbers.

Least Common Multiple (LCM) of 4861 and 4867 is 23658487.

LCM(4861,4867) = 23658487

LCM of 4861 and 4867

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

LCM of:
and

Least Common Multiple of 4861 and 4867

LCM of 4861 and 4867 is 23658487

Least common multiple can be found by multiplying the highest exponent prime factors of 4861 and 4867. First we will calculate the prime factors of 4861 and 4867.

Prime Factorization of 4861


4861 4861
1

Prime factors of 4861 are 4861. Prime factorization of 4861 in exponential form is:

4861 = 48611

Prime Factorization of 4867


31 4867
157 157
1

Prime factors of 4867 are 31,157. Prime factorization of 4867 in exponential form is:

4867 = 311×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 4861 and 4867.

LCM(4861,4867) = 311×1571×48611
LCM(4861,4867) = 23658487

Factors of 4861

List of positive integer factors of 4861 that divides 4861 without a remainder.

1, 4861

Factors of 4867

List of positive integer factors of 4867 that divides 4867 without a remainder.

1, 31, 157, 4867

Least Common Multiple of 4861 and 4867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4861 and 4867, than apply into the LCM equation.

GCF(4861,4867) = 1
LCM(4861,4867) = ( 4861 × 4867) / 1
LCM(4861,4867) = 23658487 / 1
LCM(4861,4867) = 23658487

Properties of LCM 4861 and 4867

(i) The LCM of 4867 and 4861 is associative

LCM of 4861 and 4867 = LCM of 4867 and 4861

Related Least Common Multiples of 4861

Related Least Common Multiples of 4867

Frequently Asked Questions on LCM of 4861 and 4867

1. What is the LCM of 4861 and 4867?

Answer: LCM of 4861 and 4867 is 23658487.

2. What are the Factors of 4861?

Answer: Factors of 4861 are 1, 4861. There are 2 integers that are factors of 4861. The greatest factor of 4861 is 4861.

3. What are the Factors of 4867?

Answer: Factors of 4867 are 1, 31, 157, 4867. There are 4 integers that are factors of 4867. The greatest factor of 4867 is 4867.

4. How to Find the LCM of 4861 and 4867?

Answer:

Least Common Multiple of 4861 and 4867 = 23658487

Step 1: Find the prime factorization of 4861

4861 = 4861

Step 2: Find the prime factorization of 4867

4867 = 31 x 157

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

LCM = 23658487 = 31 x 157 x 4861

Step 4: Therefore, the least common multiple of 4861 and 4867 is 23658487.