Least Common Multiple of 2474 and 2478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2474 and 2478 the smallest integer that is 3065286 that is divisible by both numbers.

Least Common Multiple (LCM) of 2474 and 2478 is 3065286.

LCM(2474,2478) = 3065286

LCM of 2474 and 2478

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

LCM of:
and

Least Common Multiple of 2474 and 2478

LCM of 2474 and 2478 is 3065286

Least common multiple can be found by multiplying the highest exponent prime factors of 2474 and 2478. First we will calculate the prime factors of 2474 and 2478.

Prime Factorization of 2474


2 2474
1237 1237
1

Prime factors of 2474 are 2,1237. Prime factorization of 2474 in exponential form is:

2474 = 21×12371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2474 and 2478.

LCM(2474,2478) = 21×31×71×591×12371
LCM(2474,2478) = 3065286

Factors of 2474

List of positive integer factors of 2474 that divides 2474 without a remainder.

1, 2, 1237, 2474

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

Least Common Multiple of 2474 and 2478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2474 and 2478, than apply into the LCM equation.

GCF(2474,2478) = 2
LCM(2474,2478) = ( 2474 × 2478) / 2
LCM(2474,2478) = 6130572 / 2
LCM(2474,2478) = 3065286

Properties of LCM 2474 and 2478

(i) The LCM of 2478 and 2474 is associative

LCM of 2474 and 2478 = LCM of 2478 and 2474

Related Least Common Multiples of 2474

Related Least Common Multiples of 2478

Frequently Asked Questions on LCM of 2474 and 2478

1. What is the LCM of 2474 and 2478?

Answer: LCM of 2474 and 2478 is 3065286.

2. What are the Factors of 2474?

Answer: Factors of 2474 are 1, 2, 1237, 2474. There are 4 integers that are factors of 2474. The greatest factor of 2474 is 2474.

3. 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.

4. How to Find the LCM of 2474 and 2478?

Answer:

Least Common Multiple of 2474 and 2478 = 3065286

Step 1: Find the prime factorization of 2474

2474 = 2 x 1237

Step 2: Find the prime factorization of 2478

2478 = 2 x 3 x 7 x 59

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

LCM = 3065286 = 2 x 3 x 7 x 59 x 1237

Step 4: Therefore, the least common multiple of 2474 and 2478 is 3065286.