Least Common Multiple of 4830 and 4836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4830 and 4836 the smallest integer that is 3892980 that is divisible by both numbers.

Least Common Multiple (LCM) of 4830 and 4836 is 3892980.

LCM(4830,4836) = 3892980

LCM of 4830 and 4836

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

LCM of:
and

Least Common Multiple of 4830 and 4836

LCM of 4830 and 4836 is 3892980

Least common multiple can be found by multiplying the highest exponent prime factors of 4830 and 4836. First we will calculate the prime factors of 4830 and 4836.

Prime Factorization of 4830


2 4830
3 2415
5 805
7 161
23 23
1

Prime factors of 4830 are 2, 3, 5, 7,23. Prime factorization of 4830 in exponential form is:

4830 = 21×31×51×71×231

Prime Factorization of 4836


2 4836
2 2418
3 1209
13 403
31 31
1

Prime factors of 4836 are 2, 3, 13,31. Prime factorization of 4836 in exponential form is:

4836 = 22×31×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4830 and 4836.

LCM(4830,4836) = 22×31×51×71×131×231×311
LCM(4830,4836) = 3892980

Factors of 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830

Factors of 4836

List of positive integer factors of 4836 that divides 4836 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836

Least Common Multiple of 4830 and 4836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4830 and 4836, than apply into the LCM equation.

GCF(4830,4836) = 6
LCM(4830,4836) = ( 4830 × 4836) / 6
LCM(4830,4836) = 23357880 / 6
LCM(4830,4836) = 3892980

Properties of LCM 4830 and 4836

(i) The LCM of 4836 and 4830 is associative

LCM of 4830 and 4836 = LCM of 4836 and 4830

Related Least Common Multiples of 4830

Related Least Common Multiples of 4836

Frequently Asked Questions on LCM of 4830 and 4836

1. What is the LCM of 4830 and 4836?

Answer: LCM of 4830 and 4836 is 3892980.

2. What are the Factors of 4830?

Answer: Factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830. There are 32 integers that are factors of 4830. The greatest factor of 4830 is 4830.

3. What are the Factors of 4836?

Answer: Factors of 4836 are 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836. There are 24 integers that are factors of 4836. The greatest factor of 4836 is 4836.

4. How to Find the LCM of 4830 and 4836?

Answer:

Least Common Multiple of 4830 and 4836 = 3892980

Step 1: Find the prime factorization of 4830

4830 = 2 x 3 x 5 x 7 x 23

Step 2: Find the prime factorization of 4836

4836 = 2 x 2 x 3 x 13 x 31

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

LCM = 3892980 = 2 x 2 x 3 x 5 x 7 x 13 x 23 x 31

Step 4: Therefore, the least common multiple of 4830 and 4836 is 3892980.