Least Common Multiple of 1483 and 1491

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 1491 the smallest integer that is 2211153 that is divisible by both numbers.

Least Common Multiple (LCM) of 1483 and 1491 is 2211153.

LCM(1483,1491) = 2211153

LCM of 1483 and 1491

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

LCM of:
and

Least Common Multiple of 1483 and 1491

LCM of 1483 and 1491 is 2211153

Least common multiple can be found by multiplying the highest exponent prime factors of 1483 and 1491. First we will calculate the prime factors of 1483 and 1491.

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 1491


3 1491
7 497
71 71
1

Prime factors of 1491 are 3, 7,71. Prime factorization of 1491 in exponential form is:

1491 = 31×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1483 and 1491.

LCM(1483,1491) = 31×71×711×14831
LCM(1483,1491) = 2211153

Factors of 1483

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

1, 1483

Factors of 1491

List of positive integer factors of 1491 that divides 1491 without a remainder.

1, 3, 7, 21, 71, 213, 497, 1491

Least Common Multiple of 1483 and 1491 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 1491, than apply into the LCM equation.

GCF(1483,1491) = 1
LCM(1483,1491) = ( 1483 × 1491) / 1
LCM(1483,1491) = 2211153 / 1
LCM(1483,1491) = 2211153

Properties of LCM 1483 and 1491

(i) The LCM of 1491 and 1483 is associative

LCM of 1483 and 1491 = LCM of 1491 and 1483

Related Least Common Multiples of 1483

Related Least Common Multiples of 1491

Frequently Asked Questions on LCM of 1483 and 1491

1. What is the LCM of 1483 and 1491?

Answer: LCM of 1483 and 1491 is 2211153.

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 1491?

Answer: Factors of 1491 are 1, 3, 7, 21, 71, 213, 497, 1491. There are 8 integers that are factors of 1491. The greatest factor of 1491 is 1491.

4. How to Find the LCM of 1483 and 1491?

Answer:

Least Common Multiple of 1483 and 1491 = 2211153

Step 1: Find the prime factorization of 1483

1483 = 1483

Step 2: Find the prime factorization of 1491

1491 = 3 x 7 x 71

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

LCM = 2211153 = 3 x 7 x 71 x 1483

Step 4: Therefore, the least common multiple of 1483 and 1491 is 2211153.