Least Common Multiple of 4844 and 4848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4844 and 4848 the smallest integer that is 5870928 that is divisible by both numbers.

Least Common Multiple (LCM) of 4844 and 4848 is 5870928.

LCM(4844,4848) = 5870928

LCM of 4844 and 4848

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

LCM of:
and

Least Common Multiple of 4844 and 4848

LCM of 4844 and 4848 is 5870928

Least common multiple can be found by multiplying the highest exponent prime factors of 4844 and 4848. First we will calculate the prime factors of 4844 and 4848.

Prime Factorization of 4844


2 4844
2 2422
7 1211
173 173
1

Prime factors of 4844 are 2, 7,173. Prime factorization of 4844 in exponential form is:

4844 = 22×71×1731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4844 and 4848.

LCM(4844,4848) = 24×31×71×1011×1731
LCM(4844,4848) = 5870928

Factors of 4844

List of positive integer factors of 4844 that divides 4844 without a remainder.

1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844

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

Least Common Multiple of 4844 and 4848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4844 and 4848, than apply into the LCM equation.

GCF(4844,4848) = 4
LCM(4844,4848) = ( 4844 × 4848) / 4
LCM(4844,4848) = 23483712 / 4
LCM(4844,4848) = 5870928

Properties of LCM 4844 and 4848

(i) The LCM of 4848 and 4844 is associative

LCM of 4844 and 4848 = LCM of 4848 and 4844

Related Least Common Multiples of 4844

Related Least Common Multiples of 4848

Frequently Asked Questions on LCM of 4844 and 4848

1. What is the LCM of 4844 and 4848?

Answer: LCM of 4844 and 4848 is 5870928.

2. What are the Factors of 4844?

Answer: Factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844. There are 12 integers that are factors of 4844. The greatest factor of 4844 is 4844.

3. 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.

4. How to Find the LCM of 4844 and 4848?

Answer:

Least Common Multiple of 4844 and 4848 = 5870928

Step 1: Find the prime factorization of 4844

4844 = 2 x 2 x 7 x 173

Step 2: Find the prime factorization of 4848

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

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

LCM = 5870928 = 2 x 2 x 2 x 2 x 3 x 7 x 101 x 173

Step 4: Therefore, the least common multiple of 4844 and 4848 is 5870928.