Least Common Multiple of 4842 and 4847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4842 and 4847 the smallest integer that is 23469174 that is divisible by both numbers.

Least Common Multiple (LCM) of 4842 and 4847 is 23469174.

LCM(4842,4847) = 23469174

LCM of 4842 and 4847

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

LCM of:
and

Least Common Multiple of 4842 and 4847

LCM of 4842 and 4847 is 23469174

Least common multiple can be found by multiplying the highest exponent prime factors of 4842 and 4847. First we will calculate the prime factors of 4842 and 4847.

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

Prime Factorization of 4847


37 4847
131 131
1

Prime factors of 4847 are 37,131. Prime factorization of 4847 in exponential form is:

4847 = 371×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 4842 and 4847.

LCM(4842,4847) = 21×32×371×1311×2691
LCM(4842,4847) = 23469174

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

Factors of 4847

List of positive integer factors of 4847 that divides 4847 without a remainder.

1, 37, 131, 4847

Least Common Multiple of 4842 and 4847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4842 and 4847, than apply into the LCM equation.

GCF(4842,4847) = 1
LCM(4842,4847) = ( 4842 × 4847) / 1
LCM(4842,4847) = 23469174 / 1
LCM(4842,4847) = 23469174

Properties of LCM 4842 and 4847

(i) The LCM of 4847 and 4842 is associative

LCM of 4842 and 4847 = LCM of 4847 and 4842

Related Least Common Multiples of 4842

Related Least Common Multiples of 4847

Frequently Asked Questions on LCM of 4842 and 4847

1. What is the LCM of 4842 and 4847?

Answer: LCM of 4842 and 4847 is 23469174.

2. 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.

3. What are the Factors of 4847?

Answer: Factors of 4847 are 1, 37, 131, 4847. There are 4 integers that are factors of 4847. The greatest factor of 4847 is 4847.

4. How to Find the LCM of 4842 and 4847?

Answer:

Least Common Multiple of 4842 and 4847 = 23469174

Step 1: Find the prime factorization of 4842

4842 = 2 x 3 x 3 x 269

Step 2: Find the prime factorization of 4847

4847 = 37 x 131

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

LCM = 23469174 = 2 x 3 x 3 x 37 x 131 x 269

Step 4: Therefore, the least common multiple of 4842 and 4847 is 23469174.