Least Common Multiple of 3472 and 3478

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 3478 the smallest integer that is 6037808 that is divisible by both numbers.

Least Common Multiple (LCM) of 3472 and 3478 is 6037808.

LCM(3472,3478) = 6037808

LCM of 3472 and 3478

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

LCM of:
and

Least Common Multiple of 3472 and 3478

LCM of 3472 and 3478 is 6037808

Least common multiple can be found by multiplying the highest exponent prime factors of 3472 and 3478. First we will calculate the prime factors of 3472 and 3478.

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 3478


2 3478
37 1739
47 47
1

Prime factors of 3478 are 2, 37,47. Prime factorization of 3478 in exponential form is:

3478 = 21×371×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3472 and 3478.

LCM(3472,3478) = 24×71×311×371×471
LCM(3472,3478) = 6037808

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 3478

List of positive integer factors of 3478 that divides 3478 without a remainder.

1, 2, 37, 47, 74, 94, 1739, 3478

Least Common Multiple of 3472 and 3478 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 3478, than apply into the LCM equation.

GCF(3472,3478) = 2
LCM(3472,3478) = ( 3472 × 3478) / 2
LCM(3472,3478) = 12075616 / 2
LCM(3472,3478) = 6037808

Properties of LCM 3472 and 3478

(i) The LCM of 3478 and 3472 is associative

LCM of 3472 and 3478 = LCM of 3478 and 3472

Related Least Common Multiples of 3472

Related Least Common Multiples of 3478

Frequently Asked Questions on LCM of 3472 and 3478

1. What is the LCM of 3472 and 3478?

Answer: LCM of 3472 and 3478 is 6037808.

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 3478?

Answer: Factors of 3478 are 1, 2, 37, 47, 74, 94, 1739, 3478. There are 8 integers that are factors of 3478. The greatest factor of 3478 is 3478.

4. How to Find the LCM of 3472 and 3478?

Answer:

Least Common Multiple of 3472 and 3478 = 6037808

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 3478

3478 = 2 x 37 x 47

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

LCM = 6037808 = 2 x 2 x 2 x 2 x 7 x 31 x 37 x 47

Step 4: Therefore, the least common multiple of 3472 and 3478 is 6037808.