Least Common Multiple of 4854 and 4860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4854 and 4860 the smallest integer that is 3931740 that is divisible by both numbers.

Least Common Multiple (LCM) of 4854 and 4860 is 3931740.

LCM(4854,4860) = 3931740

LCM of 4854 and 4860

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

LCM of:
and

Least Common Multiple of 4854 and 4860

LCM of 4854 and 4860 is 3931740

Least common multiple can be found by multiplying the highest exponent prime factors of 4854 and 4860. First we will calculate the prime factors of 4854 and 4860.

Prime Factorization of 4854


2 4854
3 2427
809 809
1

Prime factors of 4854 are 2, 3,809. Prime factorization of 4854 in exponential form is:

4854 = 21×31×8091

Prime Factorization of 4860


2 4860
2 2430
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 4860 are 2, 3,5. Prime factorization of 4860 in exponential form is:

4860 = 22×35×51

Now multiplying the highest exponent prime factors to calculate the LCM of 4854 and 4860.

LCM(4854,4860) = 22×35×51×8091
LCM(4854,4860) = 3931740

Factors of 4854

List of positive integer factors of 4854 that divides 4854 without a remainder.

1, 2, 3, 6, 809, 1618, 2427, 4854

Factors of 4860

List of positive integer factors of 4860 that divides 4860 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860

Least Common Multiple of 4854 and 4860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4854 and 4860, than apply into the LCM equation.

GCF(4854,4860) = 6
LCM(4854,4860) = ( 4854 × 4860) / 6
LCM(4854,4860) = 23590440 / 6
LCM(4854,4860) = 3931740

Properties of LCM 4854 and 4860

(i) The LCM of 4860 and 4854 is associative

LCM of 4854 and 4860 = LCM of 4860 and 4854

Related Least Common Multiples of 4854

Related Least Common Multiples of 4860

Frequently Asked Questions on LCM of 4854 and 4860

1. What is the LCM of 4854 and 4860?

Answer: LCM of 4854 and 4860 is 3931740.

2. What are the Factors of 4854?

Answer: Factors of 4854 are 1, 2, 3, 6, 809, 1618, 2427, 4854. There are 8 integers that are factors of 4854. The greatest factor of 4854 is 4854.

3. What are the Factors of 4860?

Answer: Factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860. There are 36 integers that are factors of 4860. The greatest factor of 4860 is 4860.

4. How to Find the LCM of 4854 and 4860?

Answer:

Least Common Multiple of 4854 and 4860 = 3931740

Step 1: Find the prime factorization of 4854

4854 = 2 x 3 x 809

Step 2: Find the prime factorization of 4860

4860 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5

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

LCM = 3931740 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 809

Step 4: Therefore, the least common multiple of 4854 and 4860 is 3931740.