Least Common Multiple of 1483 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 1483 and 1486 the smallest integer that is 2203738 that is divisible by both numbers.

Least Common Multiple (LCM) of 1483 and 1486 is 2203738.

LCM(1483,1486) = 2203738

LCM of 1483 and 1486

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

LCM of:
and

Least Common Multiple of 1483 and 1486

LCM of 1483 and 1486 is 2203738

Least common multiple can be found by multiplying the highest exponent prime factors of 1483 and 1486. First we will calculate the prime factors of 1483 and 1486.

Prime Factorization of 1483


1483 1483
1

Prime factors of 1483 are 1483. Prime factorization of 1483 in exponential form is:

1483 = 14831

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 1483 and 1486.

LCM(1483,1486) = 21×7431×14831
LCM(1483,1486) = 2203738

Factors of 1483

List of positive integer factors of 1483 that divides 1483 without a remainder.

1, 1483

Factors of 1486

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

1, 2, 743, 1486

Least Common Multiple of 1483 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 1483 and 1486, than apply into the LCM equation.

GCF(1483,1486) = 1
LCM(1483,1486) = ( 1483 × 1486) / 1
LCM(1483,1486) = 2203738 / 1
LCM(1483,1486) = 2203738

Properties of LCM 1483 and 1486

(i) The LCM of 1486 and 1483 is associative

LCM of 1483 and 1486 = LCM of 1486 and 1483

Frequently Asked Questions on LCM of 1483 and 1486

1. What is the LCM of 1483 and 1486?

Answer: LCM of 1483 and 1486 is 2203738.

2. What are the Factors of 1483?

Answer: Factors of 1483 are 1, 1483. There are 2 integers that are factors of 1483. The greatest factor of 1483 is 1483.

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 1483 and 1486?

Answer:

Least Common Multiple of 1483 and 1486 = 2203738

Step 1: Find the prime factorization of 1483

1483 = 1483

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 = 2203738 = 2 x 743 x 1483

Step 4: Therefore, the least common multiple of 1483 and 1486 is 2203738.