Least Common Multiple of 3495 and 3501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3495 and 3501 the smallest integer that is 4078665 that is divisible by both numbers.

Least Common Multiple (LCM) of 3495 and 3501 is 4078665.

LCM(3495,3501) = 4078665

LCM of 3495 and 3501

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

LCM of:
and

Least Common Multiple of 3495 and 3501

LCM of 3495 and 3501 is 4078665

Least common multiple can be found by multiplying the highest exponent prime factors of 3495 and 3501. First we will calculate the prime factors of 3495 and 3501.

Prime Factorization of 3495


3 3495
5 1165
233 233
1

Prime factors of 3495 are 3, 5,233. Prime factorization of 3495 in exponential form is:

3495 = 31×51×2331

Prime Factorization of 3501


3 3501
3 1167
389 389
1

Prime factors of 3501 are 3,389. Prime factorization of 3501 in exponential form is:

3501 = 32×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 3495 and 3501.

LCM(3495,3501) = 32×51×2331×3891
LCM(3495,3501) = 4078665

Factors of 3495

List of positive integer factors of 3495 that divides 3495 without a remainder.

1, 3, 5, 15, 233, 699, 1165, 3495

Factors of 3501

List of positive integer factors of 3501 that divides 3501 without a remainder.

1, 3, 9, 389, 1167, 3501

Least Common Multiple of 3495 and 3501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3495 and 3501, than apply into the LCM equation.

GCF(3495,3501) = 3
LCM(3495,3501) = ( 3495 × 3501) / 3
LCM(3495,3501) = 12235995 / 3
LCM(3495,3501) = 4078665

Properties of LCM 3495 and 3501

(i) The LCM of 3501 and 3495 is associative

LCM of 3495 and 3501 = LCM of 3501 and 3495

Related Least Common Multiples of 3495

Related Least Common Multiples of 3501

Frequently Asked Questions on LCM of 3495 and 3501

1. What is the LCM of 3495 and 3501?

Answer: LCM of 3495 and 3501 is 4078665.

2. What are the Factors of 3495?

Answer: Factors of 3495 are 1, 3, 5, 15, 233, 699, 1165, 3495. There are 8 integers that are factors of 3495. The greatest factor of 3495 is 3495.

3. What are the Factors of 3501?

Answer: Factors of 3501 are 1, 3, 9, 389, 1167, 3501. There are 6 integers that are factors of 3501. The greatest factor of 3501 is 3501.

4. How to Find the LCM of 3495 and 3501?

Answer:

Least Common Multiple of 3495 and 3501 = 4078665

Step 1: Find the prime factorization of 3495

3495 = 3 x 5 x 233

Step 2: Find the prime factorization of 3501

3501 = 3 x 3 x 389

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

LCM = 4078665 = 3 x 3 x 5 x 233 x 389

Step 4: Therefore, the least common multiple of 3495 and 3501 is 4078665.