Least Common Multiple of 1480 and 1481

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 1481 the smallest integer that is 2191880 that is divisible by both numbers.

Least Common Multiple (LCM) of 1480 and 1481 is 2191880.

LCM(1480,1481) = 2191880

LCM of 1480 and 1481

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

LCM of:
and

Least Common Multiple of 1480 and 1481

LCM of 1480 and 1481 is 2191880

Least common multiple can be found by multiplying the highest exponent prime factors of 1480 and 1481. First we will calculate the prime factors of 1480 and 1481.

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 1481


1481 1481
1

Prime factors of 1481 are 1481. Prime factorization of 1481 in exponential form is:

1481 = 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 1480 and 1481.

LCM(1480,1481) = 23×51×371×14811
LCM(1480,1481) = 2191880

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 1481

List of positive integer factors of 1481 that divides 1481 without a remainder.

1, 1481

Least Common Multiple of 1480 and 1481 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 1481, than apply into the LCM equation.

GCF(1480,1481) = 1
LCM(1480,1481) = ( 1480 × 1481) / 1
LCM(1480,1481) = 2191880 / 1
LCM(1480,1481) = 2191880

Properties of LCM 1480 and 1481

(i) The LCM of 1481 and 1480 is associative

LCM of 1480 and 1481 = LCM of 1481 and 1480

Related Least Common Multiples of 1480

Related Least Common Multiples of 1481

Frequently Asked Questions on LCM of 1480 and 1481

1. What is the LCM of 1480 and 1481?

Answer: LCM of 1480 and 1481 is 2191880.

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 1481?

Answer: Factors of 1481 are 1, 1481. There are 2 integers that are factors of 1481. The greatest factor of 1481 is 1481.

4. How to Find the LCM of 1480 and 1481?

Answer:

Least Common Multiple of 1480 and 1481 = 2191880

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 1481

1481 = 1481

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

LCM = 2191880 = 2 x 2 x 2 x 5 x 37 x 1481

Step 4: Therefore, the least common multiple of 1480 and 1481 is 2191880.