Least Common Multiple of 1480 and 1486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1480 and 1486 the smallest integer that is 1099640 that is divisible by both numbers.

Least Common Multiple (LCM) of 1480 and 1486 is 1099640.

LCM(1480,1486) = 1099640

LCM of 1480 and 1486

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

LCM of:
and

Least Common Multiple of 1480 and 1486

LCM of 1480 and 1486 is 1099640

Least common multiple can be found by multiplying the highest exponent prime factors of 1480 and 1486. First we will calculate the prime factors of 1480 and 1486.

Prime Factorization of 1480


2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 1480 are 2, 5,37. Prime factorization of 1480 in exponential form is:

1480 = 23×51×371

Prime Factorization of 1486


2 1486
743 743
1

Prime factors of 1486 are 2,743. Prime factorization of 1486 in exponential form is:

1486 = 21×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 1480 and 1486.

LCM(1480,1486) = 23×51×371×7431
LCM(1480,1486) = 1099640

Factors of 1480

List of positive integer factors of 1480 that divides 1480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480

Factors of 1486

List of positive integer factors of 1486 that divides 1486 without a remainder.

1, 2, 743, 1486

Least Common Multiple of 1480 and 1486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1480 and 1486, than apply into the LCM equation.

GCF(1480,1486) = 2
LCM(1480,1486) = ( 1480 × 1486) / 2
LCM(1480,1486) = 2199280 / 2
LCM(1480,1486) = 1099640

Properties of LCM 1480 and 1486

(i) The LCM of 1486 and 1480 is associative

LCM of 1480 and 1486 = LCM of 1486 and 1480

Related Least Common Multiples of 1480

Related Least Common Multiples of 1486

Frequently Asked Questions on LCM of 1480 and 1486

1. What is the LCM of 1480 and 1486?

Answer: LCM of 1480 and 1486 is 1099640.

2. What are the Factors of 1480?

Answer: Factors of 1480 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480. There are 16 integers that are factors of 1480. The greatest factor of 1480 is 1480.

3. What are the Factors of 1486?

Answer: Factors of 1486 are 1, 2, 743, 1486. There are 4 integers that are factors of 1486. The greatest factor of 1486 is 1486.

4. How to Find the LCM of 1480 and 1486?

Answer:

Least Common Multiple of 1480 and 1486 = 1099640

Step 1: Find the prime factorization of 1480

1480 = 2 x 2 x 2 x 5 x 37

Step 2: Find the prime factorization of 1486

1486 = 2 x 743

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

LCM = 1099640 = 2 x 2 x 2 x 5 x 37 x 743

Step 4: Therefore, the least common multiple of 1480 and 1486 is 1099640.