Least Common Multiple of 3478 and 3486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3478 and 3486 the smallest integer that is 6062154 that is divisible by both numbers.

Least Common Multiple (LCM) of 3478 and 3486 is 6062154.

LCM(3478,3486) = 6062154

LCM of 3478 and 3486

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

LCM of:
and

Least Common Multiple of 3478 and 3486

LCM of 3478 and 3486 is 6062154

Least common multiple can be found by multiplying the highest exponent prime factors of 3478 and 3486. First we will calculate the prime factors of 3478 and 3486.

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

Prime Factorization of 3486


2 3486
3 1743
7 581
83 83
1

Prime factors of 3486 are 2, 3, 7,83. Prime factorization of 3486 in exponential form is:

3486 = 21×31×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3478 and 3486.

LCM(3478,3486) = 21×31×71×371×471×831
LCM(3478,3486) = 6062154

Factors of 3478

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

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

Factors of 3486

List of positive integer factors of 3486 that divides 3486 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486

Least Common Multiple of 3478 and 3486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3478 and 3486, than apply into the LCM equation.

GCF(3478,3486) = 2
LCM(3478,3486) = ( 3478 × 3486) / 2
LCM(3478,3486) = 12124308 / 2
LCM(3478,3486) = 6062154

Properties of LCM 3478 and 3486

(i) The LCM of 3486 and 3478 is associative

LCM of 3478 and 3486 = LCM of 3486 and 3478

Related Least Common Multiples of 3478

Related Least Common Multiples of 3486

Frequently Asked Questions on LCM of 3478 and 3486

1. What is the LCM of 3478 and 3486?

Answer: LCM of 3478 and 3486 is 6062154.

2. 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.

3. What are the Factors of 3486?

Answer: Factors of 3486 are 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486. There are 16 integers that are factors of 3486. The greatest factor of 3486 is 3486.

4. How to Find the LCM of 3478 and 3486?

Answer:

Least Common Multiple of 3478 and 3486 = 6062154

Step 1: Find the prime factorization of 3478

3478 = 2 x 37 x 47

Step 2: Find the prime factorization of 3486

3486 = 2 x 3 x 7 x 83

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

LCM = 6062154 = 2 x 3 x 7 x 37 x 47 x 83

Step 4: Therefore, the least common multiple of 3478 and 3486 is 6062154.