Least Common Multiple of 1479 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 1479 and 1486 the smallest integer that is 2197794 that is divisible by both numbers.

Least Common Multiple (LCM) of 1479 and 1486 is 2197794.

LCM(1479,1486) = 2197794

LCM of 1479 and 1486

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

LCM of:
and

Least Common Multiple of 1479 and 1486

LCM of 1479 and 1486 is 2197794

Least common multiple can be found by multiplying the highest exponent prime factors of 1479 and 1486. First we will calculate the prime factors of 1479 and 1486.

Prime Factorization of 1479


3 1479
17 493
29 29
1

Prime factors of 1479 are 3, 17,29. Prime factorization of 1479 in exponential form is:

1479 = 31×171×291

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 1479 and 1486.

LCM(1479,1486) = 21×31×171×291×7431
LCM(1479,1486) = 2197794

Factors of 1479

List of positive integer factors of 1479 that divides 1479 without a remainder.

1, 3, 17, 29, 51, 87, 493, 1479

Factors of 1486

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

1, 2, 743, 1486

Least Common Multiple of 1479 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 1479 and 1486, than apply into the LCM equation.

GCF(1479,1486) = 1
LCM(1479,1486) = ( 1479 × 1486) / 1
LCM(1479,1486) = 2197794 / 1
LCM(1479,1486) = 2197794

Properties of LCM 1479 and 1486

(i) The LCM of 1486 and 1479 is associative

LCM of 1479 and 1486 = LCM of 1486 and 1479

Related Least Common Multiples of 1479

Related Least Common Multiples of 1486

Frequently Asked Questions on LCM of 1479 and 1486

1. What is the LCM of 1479 and 1486?

Answer: LCM of 1479 and 1486 is 2197794.

2. What are the Factors of 1479?

Answer: Factors of 1479 are 1, 3, 17, 29, 51, 87, 493, 1479. There are 8 integers that are factors of 1479. The greatest factor of 1479 is 1479.

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 1479 and 1486?

Answer:

Least Common Multiple of 1479 and 1486 = 2197794

Step 1: Find the prime factorization of 1479

1479 = 3 x 17 x 29

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 = 2197794 = 2 x 3 x 17 x 29 x 743

Step 4: Therefore, the least common multiple of 1479 and 1486 is 2197794.