Least Common Multiple of 3485 and 3492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3485 and 3492 the smallest integer that is 12169620 that is divisible by both numbers.

Least Common Multiple (LCM) of 3485 and 3492 is 12169620.

LCM(3485,3492) = 12169620

LCM of 3485 and 3492

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

LCM of:
and

Least Common Multiple of 3485 and 3492

LCM of 3485 and 3492 is 12169620

Least common multiple can be found by multiplying the highest exponent prime factors of 3485 and 3492. First we will calculate the prime factors of 3485 and 3492.

Prime Factorization of 3485


5 3485
17 697
41 41
1

Prime factors of 3485 are 5, 17,41. Prime factorization of 3485 in exponential form is:

3485 = 51×171×411

Prime Factorization of 3492


2 3492
2 1746
3 873
3 291
97 97
1

Prime factors of 3492 are 2, 3,97. Prime factorization of 3492 in exponential form is:

3492 = 22×32×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3485 and 3492.

LCM(3485,3492) = 22×32×51×171×411×971
LCM(3485,3492) = 12169620

Factors of 3485

List of positive integer factors of 3485 that divides 3485 without a remainder.

1, 5, 17, 41, 85, 205, 697, 3485

Factors of 3492

List of positive integer factors of 3492 that divides 3492 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492

Least Common Multiple of 3485 and 3492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3485 and 3492, than apply into the LCM equation.

GCF(3485,3492) = 1
LCM(3485,3492) = ( 3485 × 3492) / 1
LCM(3485,3492) = 12169620 / 1
LCM(3485,3492) = 12169620

Properties of LCM 3485 and 3492

(i) The LCM of 3492 and 3485 is associative

LCM of 3485 and 3492 = LCM of 3492 and 3485

Related Least Common Multiples of 3485

Related Least Common Multiples of 3492

Frequently Asked Questions on LCM of 3485 and 3492

1. What is the LCM of 3485 and 3492?

Answer: LCM of 3485 and 3492 is 12169620.

2. What are the Factors of 3485?

Answer: Factors of 3485 are 1, 5, 17, 41, 85, 205, 697, 3485. There are 8 integers that are factors of 3485. The greatest factor of 3485 is 3485.

3. What are the Factors of 3492?

Answer: Factors of 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492. There are 18 integers that are factors of 3492. The greatest factor of 3492 is 3492.

4. How to Find the LCM of 3485 and 3492?

Answer:

Least Common Multiple of 3485 and 3492 = 12169620

Step 1: Find the prime factorization of 3485

3485 = 5 x 17 x 41

Step 2: Find the prime factorization of 3492

3492 = 2 x 2 x 3 x 3 x 97

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

LCM = 12169620 = 2 x 2 x 3 x 3 x 5 x 17 x 41 x 97

Step 4: Therefore, the least common multiple of 3485 and 3492 is 12169620.