Least Common Multiple of 3472 and 3479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3472 and 3479 the smallest integer that is 1725584 that is divisible by both numbers.

Least Common Multiple (LCM) of 3472 and 3479 is 1725584.

LCM(3472,3479) = 1725584

LCM of 3472 and 3479

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

LCM of:
and

Least Common Multiple of 3472 and 3479

LCM of 3472 and 3479 is 1725584

Least common multiple can be found by multiplying the highest exponent prime factors of 3472 and 3479. First we will calculate the prime factors of 3472 and 3479.

Prime Factorization of 3472


2 3472
2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 3472 are 2, 7,31. Prime factorization of 3472 in exponential form is:

3472 = 24×71×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3472 and 3479.

LCM(3472,3479) = 24×72×311×711
LCM(3472,3479) = 1725584

Factors of 3472

List of positive integer factors of 3472 that divides 3472 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472

Factors of 3479

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

1, 7, 49, 71, 497, 3479

Least Common Multiple of 3472 and 3479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3472 and 3479, than apply into the LCM equation.

GCF(3472,3479) = 7
LCM(3472,3479) = ( 3472 × 3479) / 7
LCM(3472,3479) = 12079088 / 7
LCM(3472,3479) = 1725584

Properties of LCM 3472 and 3479

(i) The LCM of 3479 and 3472 is associative

LCM of 3472 and 3479 = LCM of 3479 and 3472

Related Least Common Multiples of 3472

Related Least Common Multiples of 3479

Frequently Asked Questions on LCM of 3472 and 3479

1. What is the LCM of 3472 and 3479?

Answer: LCM of 3472 and 3479 is 1725584.

2. What are the Factors of 3472?

Answer: Factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472. There are 20 integers that are factors of 3472. The greatest factor of 3472 is 3472.

3. 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.

4. How to Find the LCM of 3472 and 3479?

Answer:

Least Common Multiple of 3472 and 3479 = 1725584

Step 1: Find the prime factorization of 3472

3472 = 2 x 2 x 2 x 2 x 7 x 31

Step 2: Find the prime factorization of 3479

3479 = 7 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 = 1725584 = 2 x 2 x 2 x 2 x 7 x 7 x 31 x 71

Step 4: Therefore, the least common multiple of 3472 and 3479 is 1725584.