Least Common Multiple of 1480 and 1485

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 1485 the smallest integer that is 439560 that is divisible by both numbers.

Least Common Multiple (LCM) of 1480 and 1485 is 439560.

LCM(1480,1485) = 439560

LCM of 1480 and 1485

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

LCM of:
and

Least Common Multiple of 1480 and 1485

LCM of 1480 and 1485 is 439560

Least common multiple can be found by multiplying the highest exponent prime factors of 1480 and 1485. First we will calculate the prime factors of 1480 and 1485.

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 1485


3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 1485 are 3, 5,11. Prime factorization of 1485 in exponential form is:

1485 = 33×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1480 and 1485.

LCM(1480,1485) = 23×33×51×111×371
LCM(1480,1485) = 439560

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 1485

List of positive integer factors of 1485 that divides 1485 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485

Least Common Multiple of 1480 and 1485 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 1485, than apply into the LCM equation.

GCF(1480,1485) = 5
LCM(1480,1485) = ( 1480 × 1485) / 5
LCM(1480,1485) = 2197800 / 5
LCM(1480,1485) = 439560

Properties of LCM 1480 and 1485

(i) The LCM of 1485 and 1480 is associative

LCM of 1480 and 1485 = LCM of 1485 and 1480

Related Least Common Multiples of 1480

Related Least Common Multiples of 1485

Frequently Asked Questions on LCM of 1480 and 1485

1. What is the LCM of 1480 and 1485?

Answer: LCM of 1480 and 1485 is 439560.

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 1485?

Answer: Factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485. There are 16 integers that are factors of 1485. The greatest factor of 1485 is 1485.

4. How to Find the LCM of 1480 and 1485?

Answer:

Least Common Multiple of 1480 and 1485 = 439560

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 1485

1485 = 3 x 3 x 3 x 5 x 11

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

LCM = 439560 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 37

Step 4: Therefore, the least common multiple of 1480 and 1485 is 439560.