Least Common Multiple of 3497 and 3504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3497 and 3504 the smallest integer that is 12253488 that is divisible by both numbers.

Least Common Multiple (LCM) of 3497 and 3504 is 12253488.

LCM(3497,3504) = 12253488

LCM of 3497 and 3504

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

LCM of:
and

Least Common Multiple of 3497 and 3504

LCM of 3497 and 3504 is 12253488

Least common multiple can be found by multiplying the highest exponent prime factors of 3497 and 3504. First we will calculate the prime factors of 3497 and 3504.

Prime Factorization of 3497


13 3497
269 269
1

Prime factors of 3497 are 13,269. Prime factorization of 3497 in exponential form is:

3497 = 131×2691

Prime Factorization of 3504


2 3504
2 1752
2 876
2 438
3 219
73 73
1

Prime factors of 3504 are 2, 3,73. Prime factorization of 3504 in exponential form is:

3504 = 24×31×731

Now multiplying the highest exponent prime factors to calculate the LCM of 3497 and 3504.

LCM(3497,3504) = 24×31×131×731×2691
LCM(3497,3504) = 12253488

Factors of 3497

List of positive integer factors of 3497 that divides 3497 without a remainder.

1, 13, 269, 3497

Factors of 3504

List of positive integer factors of 3504 that divides 3504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504

Least Common Multiple of 3497 and 3504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3497 and 3504, than apply into the LCM equation.

GCF(3497,3504) = 1
LCM(3497,3504) = ( 3497 × 3504) / 1
LCM(3497,3504) = 12253488 / 1
LCM(3497,3504) = 12253488

Properties of LCM 3497 and 3504

(i) The LCM of 3504 and 3497 is associative

LCM of 3497 and 3504 = LCM of 3504 and 3497

Related Least Common Multiples of 3497

Related Least Common Multiples of 3504

Frequently Asked Questions on LCM of 3497 and 3504

1. What is the LCM of 3497 and 3504?

Answer: LCM of 3497 and 3504 is 12253488.

2. What are the Factors of 3497?

Answer: Factors of 3497 are 1, 13, 269, 3497. There are 4 integers that are factors of 3497. The greatest factor of 3497 is 3497.

3. What are the Factors of 3504?

Answer: Factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504. There are 20 integers that are factors of 3504. The greatest factor of 3504 is 3504.

4. How to Find the LCM of 3497 and 3504?

Answer:

Least Common Multiple of 3497 and 3504 = 12253488

Step 1: Find the prime factorization of 3497

3497 = 13 x 269

Step 2: Find the prime factorization of 3504

3504 = 2 x 2 x 2 x 2 x 3 x 73

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

LCM = 12253488 = 2 x 2 x 2 x 2 x 3 x 13 x 73 x 269

Step 4: Therefore, the least common multiple of 3497 and 3504 is 12253488.