Least Common Multiple of 2478 and 2483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2478 and 2483 the smallest integer that is 6152874 that is divisible by both numbers.

Least Common Multiple (LCM) of 2478 and 2483 is 6152874.

LCM(2478,2483) = 6152874

LCM of 2478 and 2483

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

LCM of:
and

Least Common Multiple of 2478 and 2483

LCM of 2478 and 2483 is 6152874

Least common multiple can be found by multiplying the highest exponent prime factors of 2478 and 2483. First we will calculate the prime factors of 2478 and 2483.

Prime Factorization of 2478


2 2478
3 1239
7 413
59 59
1

Prime factors of 2478 are 2, 3, 7,59. Prime factorization of 2478 in exponential form is:

2478 = 21×31×71×591

Prime Factorization of 2483


13 2483
191 191
1

Prime factors of 2483 are 13,191. Prime factorization of 2483 in exponential form is:

2483 = 131×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 2478 and 2483.

LCM(2478,2483) = 21×31×71×131×591×1911
LCM(2478,2483) = 6152874

Factors of 2478

List of positive integer factors of 2478 that divides 2478 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478

Factors of 2483

List of positive integer factors of 2483 that divides 2483 without a remainder.

1, 13, 191, 2483

Least Common Multiple of 2478 and 2483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2478 and 2483, than apply into the LCM equation.

GCF(2478,2483) = 1
LCM(2478,2483) = ( 2478 × 2483) / 1
LCM(2478,2483) = 6152874 / 1
LCM(2478,2483) = 6152874

Properties of LCM 2478 and 2483

(i) The LCM of 2483 and 2478 is associative

LCM of 2478 and 2483 = LCM of 2483 and 2478

Related Least Common Multiples of 2478

Related Least Common Multiples of 2483

Frequently Asked Questions on LCM of 2478 and 2483

1. What is the LCM of 2478 and 2483?

Answer: LCM of 2478 and 2483 is 6152874.

2. What are the Factors of 2478?

Answer: Factors of 2478 are 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478. There are 16 integers that are factors of 2478. The greatest factor of 2478 is 2478.

3. What are the Factors of 2483?

Answer: Factors of 2483 are 1, 13, 191, 2483. There are 4 integers that are factors of 2483. The greatest factor of 2483 is 2483.

4. How to Find the LCM of 2478 and 2483?

Answer:

Least Common Multiple of 2478 and 2483 = 6152874

Step 1: Find the prime factorization of 2478

2478 = 2 x 3 x 7 x 59

Step 2: Find the prime factorization of 2483

2483 = 13 x 191

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

LCM = 6152874 = 2 x 3 x 7 x 13 x 59 x 191

Step 4: Therefore, the least common multiple of 2478 and 2483 is 6152874.