Least Common Multiple of 4848 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 4848 and 4851 the smallest integer that is 7839216 that is divisible by both numbers.

Least Common Multiple (LCM) of 4848 and 4851 is 7839216.

LCM(4848,4851) = 7839216

LCM of 4848 and 4851

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

LCM of:
and

Least Common Multiple of 4848 and 4851

LCM of 4848 and 4851 is 7839216

Least common multiple can be found by multiplying the highest exponent prime factors of 4848 and 4851. First we will calculate the prime factors of 4848 and 4851.

Prime Factorization of 4848


2 4848
2 2424
2 1212
2 606
3 303
101 101
1

Prime factors of 4848 are 2, 3,101. Prime factorization of 4848 in exponential form is:

4848 = 24×31×1011

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 4848 and 4851.

LCM(4848,4851) = 24×32×72×111×1011
LCM(4848,4851) = 7839216

Factors of 4848

List of positive integer factors of 4848 that divides 4848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 4848

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 4848 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 4848 and 4851, than apply into the LCM equation.

GCF(4848,4851) = 3
LCM(4848,4851) = ( 4848 × 4851) / 3
LCM(4848,4851) = 23517648 / 3
LCM(4848,4851) = 7839216

Properties of LCM 4848 and 4851

(i) The LCM of 4851 and 4848 is associative

LCM of 4848 and 4851 = LCM of 4851 and 4848

Related Least Common Multiples of 4848

Related Least Common Multiples of 4851

Frequently Asked Questions on LCM of 4848 and 4851

1. What is the LCM of 4848 and 4851?

Answer: LCM of 4848 and 4851 is 7839216.

2. What are the Factors of 4848?

Answer: Factors of 4848 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 4848. There are 20 integers that are factors of 4848. The greatest factor of 4848 is 4848.

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 4848 and 4851?

Answer:

Least Common Multiple of 4848 and 4851 = 7839216

Step 1: Find the prime factorization of 4848

4848 = 2 x 2 x 2 x 2 x 3 x 101

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 = 7839216 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 11 x 101

Step 4: Therefore, the least common multiple of 4848 and 4851 is 7839216.