Least Common Multiple of 3488 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 3488 and 3492 the smallest integer that is 3045024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3488 and 3492 is 3045024.

LCM(3488,3492) = 3045024

LCM of 3488 and 3492

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

LCM of:
and

Least Common Multiple of 3488 and 3492

LCM of 3488 and 3492 is 3045024

Least common multiple can be found by multiplying the highest exponent prime factors of 3488 and 3492. First we will calculate the prime factors of 3488 and 3492.

Prime Factorization of 3488


2 3488
2 1744
2 872
2 436
2 218
109 109
1

Prime factors of 3488 are 2,109. Prime factorization of 3488 in exponential form is:

3488 = 25×1091

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 3488 and 3492.

LCM(3488,3492) = 25×32×971×1091
LCM(3488,3492) = 3045024

Factors of 3488

List of positive integer factors of 3488 that divides 3488 without a remainder.

1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488

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 3488 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 3488 and 3492, than apply into the LCM equation.

GCF(3488,3492) = 4
LCM(3488,3492) = ( 3488 × 3492) / 4
LCM(3488,3492) = 12180096 / 4
LCM(3488,3492) = 3045024

Properties of LCM 3488 and 3492

(i) The LCM of 3492 and 3488 is associative

LCM of 3488 and 3492 = LCM of 3492 and 3488

Related Least Common Multiples of 3488

Related Least Common Multiples of 3492

Frequently Asked Questions on LCM of 3488 and 3492

1. What is the LCM of 3488 and 3492?

Answer: LCM of 3488 and 3492 is 3045024.

2. What are the Factors of 3488?

Answer: Factors of 3488 are 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488. There are 12 integers that are factors of 3488. The greatest factor of 3488 is 3488.

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 3488 and 3492?

Answer:

Least Common Multiple of 3488 and 3492 = 3045024

Step 1: Find the prime factorization of 3488

3488 = 2 x 2 x 2 x 2 x 2 x 109

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 = 3045024 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 97 x 109

Step 4: Therefore, the least common multiple of 3488 and 3492 is 3045024.