Least Common Multiple of 3499 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 3499 and 3504 the smallest integer that is 12260496 that is divisible by both numbers.

Least Common Multiple (LCM) of 3499 and 3504 is 12260496.

LCM(3499,3504) = 12260496

LCM of 3499 and 3504

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

LCM of:
and

Least Common Multiple of 3499 and 3504

LCM of 3499 and 3504 is 12260496

Least common multiple can be found by multiplying the highest exponent prime factors of 3499 and 3504. First we will calculate the prime factors of 3499 and 3504.

Prime Factorization of 3499


3499 3499
1

Prime factors of 3499 are 3499. Prime factorization of 3499 in exponential form is:

3499 = 34991

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 3499 and 3504.

LCM(3499,3504) = 24×31×731×34991
LCM(3499,3504) = 12260496

Factors of 3499

List of positive integer factors of 3499 that divides 3499 without a remainder.

1, 3499

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 3499 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 3499 and 3504, than apply into the LCM equation.

GCF(3499,3504) = 1
LCM(3499,3504) = ( 3499 × 3504) / 1
LCM(3499,3504) = 12260496 / 1
LCM(3499,3504) = 12260496

Properties of LCM 3499 and 3504

(i) The LCM of 3504 and 3499 is associative

LCM of 3499 and 3504 = LCM of 3504 and 3499

Related Least Common Multiples of 3499

Related Least Common Multiples of 3504

Frequently Asked Questions on LCM of 3499 and 3504

1. What is the LCM of 3499 and 3504?

Answer: LCM of 3499 and 3504 is 12260496.

2. What are the Factors of 3499?

Answer: Factors of 3499 are 1, 3499. There are 2 integers that are factors of 3499. The greatest factor of 3499 is 3499.

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 3499 and 3504?

Answer:

Least Common Multiple of 3499 and 3504 = 12260496

Step 1: Find the prime factorization of 3499

3499 = 3499

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 = 12260496 = 2 x 2 x 2 x 2 x 3 x 73 x 3499

Step 4: Therefore, the least common multiple of 3499 and 3504 is 12260496.