Least Common Multiple of 4856 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 4856 and 4860 the smallest integer that is 5900040 that is divisible by both numbers.

Least Common Multiple (LCM) of 4856 and 4860 is 5900040.

LCM(4856,4860) = 5900040

LCM of 4856 and 4860

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

LCM of:
and

Least Common Multiple of 4856 and 4860

LCM of 4856 and 4860 is 5900040

Least common multiple can be found by multiplying the highest exponent prime factors of 4856 and 4860. First we will calculate the prime factors of 4856 and 4860.

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

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 4856 and 4860.

LCM(4856,4860) = 23×35×51×6071
LCM(4856,4860) = 5900040

Factors of 4856

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

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

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 4856 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 4856 and 4860, than apply into the LCM equation.

GCF(4856,4860) = 4
LCM(4856,4860) = ( 4856 × 4860) / 4
LCM(4856,4860) = 23600160 / 4
LCM(4856,4860) = 5900040

Properties of LCM 4856 and 4860

(i) The LCM of 4860 and 4856 is associative

LCM of 4856 and 4860 = LCM of 4860 and 4856

Related Least Common Multiples of 4856

Related Least Common Multiples of 4860

Frequently Asked Questions on LCM of 4856 and 4860

1. What is the LCM of 4856 and 4860?

Answer: LCM of 4856 and 4860 is 5900040.

2. 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.

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 4856 and 4860?

Answer:

Least Common Multiple of 4856 and 4860 = 5900040

Step 1: Find the prime factorization of 4856

4856 = 2 x 2 x 2 x 607

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 = 5900040 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 607

Step 4: Therefore, the least common multiple of 4856 and 4860 is 5900040.