Least Common Multiple of 3479 and 3487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3479 and 3487 the smallest integer that is 12131273 that is divisible by both numbers.

Least Common Multiple (LCM) of 3479 and 3487 is 12131273.

LCM(3479,3487) = 12131273

LCM of 3479 and 3487

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

LCM of:
and

Least Common Multiple of 3479 and 3487

LCM of 3479 and 3487 is 12131273

Least common multiple can be found by multiplying the highest exponent prime factors of 3479 and 3487. First we will calculate the prime factors of 3479 and 3487.

Prime Factorization of 3479


7 3479
7 497
71 71
1

Prime factors of 3479 are 7,71. Prime factorization of 3479 in exponential form is:

3479 = 72×711

Prime Factorization of 3487


11 3487
317 317
1

Prime factors of 3487 are 11,317. Prime factorization of 3487 in exponential form is:

3487 = 111×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 3479 and 3487.

LCM(3479,3487) = 72×111×711×3171
LCM(3479,3487) = 12131273

Factors of 3479

List of positive integer factors of 3479 that divides 3479 without a remainder.

1, 7, 49, 71, 497, 3479

Factors of 3487

List of positive integer factors of 3487 that divides 3487 without a remainder.

1, 11, 317, 3487

Least Common Multiple of 3479 and 3487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3479 and 3487, than apply into the LCM equation.

GCF(3479,3487) = 1
LCM(3479,3487) = ( 3479 × 3487) / 1
LCM(3479,3487) = 12131273 / 1
LCM(3479,3487) = 12131273

Properties of LCM 3479 and 3487

(i) The LCM of 3487 and 3479 is associative

LCM of 3479 and 3487 = LCM of 3487 and 3479

Related Least Common Multiples of 3479

Related Least Common Multiples of 3487

Frequently Asked Questions on LCM of 3479 and 3487

1. What is the LCM of 3479 and 3487?

Answer: LCM of 3479 and 3487 is 12131273.

2. What are the Factors of 3479?

Answer: Factors of 3479 are 1, 7, 49, 71, 497, 3479. There are 6 integers that are factors of 3479. The greatest factor of 3479 is 3479.

3. What are the Factors of 3487?

Answer: Factors of 3487 are 1, 11, 317, 3487. There are 4 integers that are factors of 3487. The greatest factor of 3487 is 3487.

4. How to Find the LCM of 3479 and 3487?

Answer:

Least Common Multiple of 3479 and 3487 = 12131273

Step 1: Find the prime factorization of 3479

3479 = 7 x 7 x 71

Step 2: Find the prime factorization of 3487

3487 = 11 x 317

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

LCM = 12131273 = 7 x 7 x 11 x 71 x 317

Step 4: Therefore, the least common multiple of 3479 and 3487 is 12131273.