Least Common Multiple of 2474 and 2480

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 2480 the smallest integer that is 3067760 that is divisible by both numbers.

Least Common Multiple (LCM) of 2474 and 2480 is 3067760.

LCM(2474,2480) = 3067760

LCM of 2474 and 2480

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

LCM of:
and

Least Common Multiple of 2474 and 2480

LCM of 2474 and 2480 is 3067760

Least common multiple can be found by multiplying the highest exponent prime factors of 2474 and 2480. First we will calculate the prime factors of 2474 and 2480.

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 2480


2 2480
2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 2480 are 2, 5,31. Prime factorization of 2480 in exponential form is:

2480 = 24×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2474 and 2480.

LCM(2474,2480) = 24×51×311×12371
LCM(2474,2480) = 3067760

Factors of 2474

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

1, 2, 1237, 2474

Factors of 2480

List of positive integer factors of 2480 that divides 2480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480

Least Common Multiple of 2474 and 2480 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 2480, than apply into the LCM equation.

GCF(2474,2480) = 2
LCM(2474,2480) = ( 2474 × 2480) / 2
LCM(2474,2480) = 6135520 / 2
LCM(2474,2480) = 3067760

Properties of LCM 2474 and 2480

(i) The LCM of 2480 and 2474 is associative

LCM of 2474 and 2480 = LCM of 2480 and 2474

Related Least Common Multiples of 2474

Related Least Common Multiples of 2480

Frequently Asked Questions on LCM of 2474 and 2480

1. What is the LCM of 2474 and 2480?

Answer: LCM of 2474 and 2480 is 3067760.

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 2480?

Answer: Factors of 2480 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480. There are 20 integers that are factors of 2480. The greatest factor of 2480 is 2480.

4. How to Find the LCM of 2474 and 2480?

Answer:

Least Common Multiple of 2474 and 2480 = 3067760

Step 1: Find the prime factorization of 2474

2474 = 2 x 1237

Step 2: Find the prime factorization of 2480

2480 = 2 x 2 x 2 x 2 x 5 x 31

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

LCM = 3067760 = 2 x 2 x 2 x 2 x 5 x 31 x 1237

Step 4: Therefore, the least common multiple of 2474 and 2480 is 3067760.