Least Common Multiple of 4835 and 4842

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 4842 the smallest integer that is 23411070 that is divisible by both numbers.

Least Common Multiple (LCM) of 4835 and 4842 is 23411070.

LCM(4835,4842) = 23411070

LCM of 4835 and 4842

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

LCM of:
and

Least Common Multiple of 4835 and 4842

LCM of 4835 and 4842 is 23411070

Least common multiple can be found by multiplying the highest exponent prime factors of 4835 and 4842. First we will calculate the prime factors of 4835 and 4842.

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 4842


2 4842
3 2421
3 807
269 269
1

Prime factors of 4842 are 2, 3,269. Prime factorization of 4842 in exponential form is:

4842 = 21×32×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 4835 and 4842.

LCM(4835,4842) = 21×32×51×2691×9671
LCM(4835,4842) = 23411070

Factors of 4835

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

1, 5, 967, 4835

Factors of 4842

List of positive integer factors of 4842 that divides 4842 without a remainder.

1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842

Least Common Multiple of 4835 and 4842 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 4842, than apply into the LCM equation.

GCF(4835,4842) = 1
LCM(4835,4842) = ( 4835 × 4842) / 1
LCM(4835,4842) = 23411070 / 1
LCM(4835,4842) = 23411070

Properties of LCM 4835 and 4842

(i) The LCM of 4842 and 4835 is associative

LCM of 4835 and 4842 = LCM of 4842 and 4835

Related Least Common Multiples of 4835

Related Least Common Multiples of 4842

Frequently Asked Questions on LCM of 4835 and 4842

1. What is the LCM of 4835 and 4842?

Answer: LCM of 4835 and 4842 is 23411070.

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 4842?

Answer: Factors of 4842 are 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842. There are 12 integers that are factors of 4842. The greatest factor of 4842 is 4842.

4. How to Find the LCM of 4835 and 4842?

Answer:

Least Common Multiple of 4835 and 4842 = 23411070

Step 1: Find the prime factorization of 4835

4835 = 5 x 967

Step 2: Find the prime factorization of 4842

4842 = 2 x 3 x 3 x 269

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

LCM = 23411070 = 2 x 3 x 3 x 5 x 269 x 967

Step 4: Therefore, the least common multiple of 4835 and 4842 is 23411070.