Least Common Multiple of 4840 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 4840 and 4848 the smallest integer that is 2933040 that is divisible by both numbers.

Least Common Multiple (LCM) of 4840 and 4848 is 2933040.

LCM(4840,4848) = 2933040

LCM of 4840 and 4848

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

LCM of:
and

Least Common Multiple of 4840 and 4848

LCM of 4840 and 4848 is 2933040

Least common multiple can be found by multiplying the highest exponent prime factors of 4840 and 4848. First we will calculate the prime factors of 4840 and 4848.

Prime Factorization of 4840


2 4840
2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 4840 are 2, 5,11. Prime factorization of 4840 in exponential form is:

4840 = 23×51×112

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 4840 and 4848.

LCM(4840,4848) = 24×31×51×112×1011
LCM(4840,4848) = 2933040

Factors of 4840

List of positive integer factors of 4840 that divides 4840 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 2420, 4840

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 4840 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 4840 and 4848, than apply into the LCM equation.

GCF(4840,4848) = 8
LCM(4840,4848) = ( 4840 × 4848) / 8
LCM(4840,4848) = 23464320 / 8
LCM(4840,4848) = 2933040

Properties of LCM 4840 and 4848

(i) The LCM of 4848 and 4840 is associative

LCM of 4840 and 4848 = LCM of 4848 and 4840

Related Least Common Multiples of 4840

Related Least Common Multiples of 4848

Frequently Asked Questions on LCM of 4840 and 4848

1. What is the LCM of 4840 and 4848?

Answer: LCM of 4840 and 4848 is 2933040.

2. What are the Factors of 4840?

Answer: Factors of 4840 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 2420, 4840. There are 24 integers that are factors of 4840. The greatest factor of 4840 is 4840.

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 4840 and 4848?

Answer:

Least Common Multiple of 4840 and 4848 = 2933040

Step 1: Find the prime factorization of 4840

4840 = 2 x 2 x 2 x 5 x 11 x 11

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 = 2933040 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 11 x 101

Step 4: Therefore, the least common multiple of 4840 and 4848 is 2933040.