Least Common Multiple of 3540 and 3545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3540 and 3545 the smallest integer that is 2509860 that is divisible by both numbers.

Least Common Multiple (LCM) of 3540 and 3545 is 2509860.

LCM(3540,3545) = 2509860

LCM of 3540 and 3545

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

LCM of:
and

Least Common Multiple of 3540 and 3545

LCM of 3540 and 3545 is 2509860

Least common multiple can be found by multiplying the highest exponent prime factors of 3540 and 3545. First we will calculate the prime factors of 3540 and 3545.

Prime Factorization of 3540


2 3540
2 1770
3 885
5 295
59 59
1

Prime factors of 3540 are 2, 3, 5,59. Prime factorization of 3540 in exponential form is:

3540 = 22×31×51×591

Prime Factorization of 3545


5 3545
709 709
1

Prime factors of 3545 are 5,709. Prime factorization of 3545 in exponential form is:

3545 = 51×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 3540 and 3545.

LCM(3540,3545) = 22×31×51×591×7091
LCM(3540,3545) = 2509860

Factors of 3540

List of positive integer factors of 3540 that divides 3540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540

Factors of 3545

List of positive integer factors of 3545 that divides 3545 without a remainder.

1, 5, 709, 3545

Least Common Multiple of 3540 and 3545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3540 and 3545, than apply into the LCM equation.

GCF(3540,3545) = 5
LCM(3540,3545) = ( 3540 × 3545) / 5
LCM(3540,3545) = 12549300 / 5
LCM(3540,3545) = 2509860

Properties of LCM 3540 and 3545

(i) The LCM of 3545 and 3540 is associative

LCM of 3540 and 3545 = LCM of 3545 and 3540

Related Least Common Multiples of 3540

Related Least Common Multiples of 3545

Frequently Asked Questions on LCM of 3540 and 3545

1. What is the LCM of 3540 and 3545?

Answer: LCM of 3540 and 3545 is 2509860.

2. What are the Factors of 3540?

Answer: Factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540. There are 24 integers that are factors of 3540. The greatest factor of 3540 is 3540.

3. What are the Factors of 3545?

Answer: Factors of 3545 are 1, 5, 709, 3545. There are 4 integers that are factors of 3545. The greatest factor of 3545 is 3545.

4. How to Find the LCM of 3540 and 3545?

Answer:

Least Common Multiple of 3540 and 3545 = 2509860

Step 1: Find the prime factorization of 3540

3540 = 2 x 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 3545

3545 = 5 x 709

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

LCM = 2509860 = 2 x 2 x 3 x 5 x 59 x 709

Step 4: Therefore, the least common multiple of 3540 and 3545 is 2509860.