Least Common Multiple of 4835 and 4839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4835 and 4839 the smallest integer that is 23396565 that is divisible by both numbers.

Least Common Multiple (LCM) of 4835 and 4839 is 23396565.

LCM(4835,4839) = 23396565

LCM of 4835 and 4839

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

LCM of:
and

Least Common Multiple of 4835 and 4839

LCM of 4835 and 4839 is 23396565

Least common multiple can be found by multiplying the highest exponent prime factors of 4835 and 4839. First we will calculate the prime factors of 4835 and 4839.

Prime Factorization of 4835


5 4835
967 967
1

Prime factors of 4835 are 5,967. Prime factorization of 4835 in exponential form is:

4835 = 51×9671

Prime Factorization of 4839


3 4839
1613 1613
1

Prime factors of 4839 are 3,1613. Prime factorization of 4839 in exponential form is:

4839 = 31×16131

Now multiplying the highest exponent prime factors to calculate the LCM of 4835 and 4839.

LCM(4835,4839) = 31×51×9671×16131
LCM(4835,4839) = 23396565

Factors of 4835

List of positive integer factors of 4835 that divides 4835 without a remainder.

1, 5, 967, 4835

Factors of 4839

List of positive integer factors of 4839 that divides 4839 without a remainder.

1, 3, 1613, 4839

Least Common Multiple of 4835 and 4839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4835 and 4839, than apply into the LCM equation.

GCF(4835,4839) = 1
LCM(4835,4839) = ( 4835 × 4839) / 1
LCM(4835,4839) = 23396565 / 1
LCM(4835,4839) = 23396565

Properties of LCM 4835 and 4839

(i) The LCM of 4839 and 4835 is associative

LCM of 4835 and 4839 = LCM of 4839 and 4835

Related Least Common Multiples of 4835

Related Least Common Multiples of 4839

Frequently Asked Questions on LCM of 4835 and 4839

1. What is the LCM of 4835 and 4839?

Answer: LCM of 4835 and 4839 is 23396565.

2. What are the Factors of 4835?

Answer: Factors of 4835 are 1, 5, 967, 4835. There are 4 integers that are factors of 4835. The greatest factor of 4835 is 4835.

3. What are the Factors of 4839?

Answer: Factors of 4839 are 1, 3, 1613, 4839. There are 4 integers that are factors of 4839. The greatest factor of 4839 is 4839.

4. How to Find the LCM of 4835 and 4839?

Answer:

Least Common Multiple of 4835 and 4839 = 23396565

Step 1: Find the prime factorization of 4835

4835 = 5 x 967

Step 2: Find the prime factorization of 4839

4839 = 3 x 1613

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

LCM = 23396565 = 3 x 5 x 967 x 1613

Step 4: Therefore, the least common multiple of 4835 and 4839 is 23396565.