Least Common Multiple of 4846 and 4851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4846 and 4851 the smallest integer that is 23507946 that is divisible by both numbers.

Least Common Multiple (LCM) of 4846 and 4851 is 23507946.

LCM(4846,4851) = 23507946

LCM of 4846 and 4851

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

LCM of:
and

Least Common Multiple of 4846 and 4851

LCM of 4846 and 4851 is 23507946

Least common multiple can be found by multiplying the highest exponent prime factors of 4846 and 4851. First we will calculate the prime factors of 4846 and 4851.

Prime Factorization of 4846


2 4846
2423 2423
1

Prime factors of 4846 are 2,2423. Prime factorization of 4846 in exponential form is:

4846 = 21×24231

Prime Factorization of 4851


3 4851
3 1617
7 539
7 77
11 11
1

Prime factors of 4851 are 3, 7,11. Prime factorization of 4851 in exponential form is:

4851 = 32×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4846 and 4851.

LCM(4846,4851) = 21×32×72×111×24231
LCM(4846,4851) = 23507946

Factors of 4846

List of positive integer factors of 4846 that divides 4846 without a remainder.

1, 2, 2423, 4846

Factors of 4851

List of positive integer factors of 4851 that divides 4851 without a remainder.

1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851

Least Common Multiple of 4846 and 4851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4846 and 4851, than apply into the LCM equation.

GCF(4846,4851) = 1
LCM(4846,4851) = ( 4846 × 4851) / 1
LCM(4846,4851) = 23507946 / 1
LCM(4846,4851) = 23507946

Properties of LCM 4846 and 4851

(i) The LCM of 4851 and 4846 is associative

LCM of 4846 and 4851 = LCM of 4851 and 4846

Related Least Common Multiples of 4846

Related Least Common Multiples of 4851

Frequently Asked Questions on LCM of 4846 and 4851

1. What is the LCM of 4846 and 4851?

Answer: LCM of 4846 and 4851 is 23507946.

2. What are the Factors of 4846?

Answer: Factors of 4846 are 1, 2, 2423, 4846. There are 4 integers that are factors of 4846. The greatest factor of 4846 is 4846.

3. What are the Factors of 4851?

Answer: Factors of 4851 are 1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851. There are 18 integers that are factors of 4851. The greatest factor of 4851 is 4851.

4. How to Find the LCM of 4846 and 4851?

Answer:

Least Common Multiple of 4846 and 4851 = 23507946

Step 1: Find the prime factorization of 4846

4846 = 2 x 2423

Step 2: Find the prime factorization of 4851

4851 = 3 x 3 x 7 x 7 x 11

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

LCM = 23507946 = 2 x 3 x 3 x 7 x 7 x 11 x 2423

Step 4: Therefore, the least common multiple of 4846 and 4851 is 23507946.