Least Common Multiple of 2480 and 2488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2480 and 2488 the smallest integer that is 771280 that is divisible by both numbers.

Least Common Multiple (LCM) of 2480 and 2488 is 771280.

LCM(2480,2488) = 771280

LCM of 2480 and 2488

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

LCM of:
and

Least Common Multiple of 2480 and 2488

LCM of 2480 and 2488 is 771280

Least common multiple can be found by multiplying the highest exponent prime factors of 2480 and 2488. First we will calculate the prime factors of 2480 and 2488.

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

Prime Factorization of 2488


2 2488
2 1244
2 622
311 311
1

Prime factors of 2488 are 2,311. Prime factorization of 2488 in exponential form is:

2488 = 23×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 2480 and 2488.

LCM(2480,2488) = 24×51×311×3111
LCM(2480,2488) = 771280

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

Factors of 2488

List of positive integer factors of 2488 that divides 2488 without a remainder.

1, 2, 4, 8, 311, 622, 1244, 2488

Least Common Multiple of 2480 and 2488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2480 and 2488, than apply into the LCM equation.

GCF(2480,2488) = 8
LCM(2480,2488) = ( 2480 × 2488) / 8
LCM(2480,2488) = 6170240 / 8
LCM(2480,2488) = 771280

Properties of LCM 2480 and 2488

(i) The LCM of 2488 and 2480 is associative

LCM of 2480 and 2488 = LCM of 2488 and 2480

Related Least Common Multiples of 2480

Related Least Common Multiples of 2488

Frequently Asked Questions on LCM of 2480 and 2488

1. What is the LCM of 2480 and 2488?

Answer: LCM of 2480 and 2488 is 771280.

2. 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.

3. What are the Factors of 2488?

Answer: Factors of 2488 are 1, 2, 4, 8, 311, 622, 1244, 2488. There are 8 integers that are factors of 2488. The greatest factor of 2488 is 2488.

4. How to Find the LCM of 2480 and 2488?

Answer:

Least Common Multiple of 2480 and 2488 = 771280

Step 1: Find the prime factorization of 2480

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

Step 2: Find the prime factorization of 2488

2488 = 2 x 2 x 2 x 311

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

LCM = 771280 = 2 x 2 x 2 x 2 x 5 x 31 x 311

Step 4: Therefore, the least common multiple of 2480 and 2488 is 771280.