Least Common Multiple of 4855 and 4856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4855 and 4856 the smallest integer that is 23575880 that is divisible by both numbers.

Least Common Multiple (LCM) of 4855 and 4856 is 23575880.

LCM(4855,4856) = 23575880

LCM of 4855 and 4856

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

LCM of:
and

Least Common Multiple of 4855 and 4856

LCM of 4855 and 4856 is 23575880

Least common multiple can be found by multiplying the highest exponent prime factors of 4855 and 4856. First we will calculate the prime factors of 4855 and 4856.

Prime Factorization of 4855


5 4855
971 971
1

Prime factors of 4855 are 5,971. Prime factorization of 4855 in exponential form is:

4855 = 51×9711

Prime Factorization of 4856


2 4856
2 2428
2 1214
607 607
1

Prime factors of 4856 are 2,607. Prime factorization of 4856 in exponential form is:

4856 = 23×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 4855 and 4856.

LCM(4855,4856) = 23×51×6071×9711
LCM(4855,4856) = 23575880

Factors of 4855

List of positive integer factors of 4855 that divides 4855 without a remainder.

1, 5, 971, 4855

Factors of 4856

List of positive integer factors of 4856 that divides 4856 without a remainder.

1, 2, 4, 8, 607, 1214, 2428, 4856

Least Common Multiple of 4855 and 4856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4855 and 4856, than apply into the LCM equation.

GCF(4855,4856) = 1
LCM(4855,4856) = ( 4855 × 4856) / 1
LCM(4855,4856) = 23575880 / 1
LCM(4855,4856) = 23575880

Properties of LCM 4855 and 4856

(i) The LCM of 4856 and 4855 is associative

LCM of 4855 and 4856 = LCM of 4856 and 4855

Related Least Common Multiples of 4855

Related Least Common Multiples of 4856

Frequently Asked Questions on LCM of 4855 and 4856

1. What is the LCM of 4855 and 4856?

Answer: LCM of 4855 and 4856 is 23575880.

2. What are the Factors of 4855?

Answer: Factors of 4855 are 1, 5, 971, 4855. There are 4 integers that are factors of 4855. The greatest factor of 4855 is 4855.

3. What are the Factors of 4856?

Answer: Factors of 4856 are 1, 2, 4, 8, 607, 1214, 2428, 4856. There are 8 integers that are factors of 4856. The greatest factor of 4856 is 4856.

4. How to Find the LCM of 4855 and 4856?

Answer:

Least Common Multiple of 4855 and 4856 = 23575880

Step 1: Find the prime factorization of 4855

4855 = 5 x 971

Step 2: Find the prime factorization of 4856

4856 = 2 x 2 x 2 x 607

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

LCM = 23575880 = 2 x 2 x 2 x 5 x 607 x 971

Step 4: Therefore, the least common multiple of 4855 and 4856 is 23575880.