Least Common Multiple of 3540 and 3547

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 3547 the smallest integer that is 12556380 that is divisible by both numbers.

Least Common Multiple (LCM) of 3540 and 3547 is 12556380.

LCM(3540,3547) = 12556380

LCM of 3540 and 3547

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

LCM of:
and

Least Common Multiple of 3540 and 3547

LCM of 3540 and 3547 is 12556380

Least common multiple can be found by multiplying the highest exponent prime factors of 3540 and 3547. First we will calculate the prime factors of 3540 and 3547.

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 3547


3547 3547
1

Prime factors of 3547 are 3547. Prime factorization of 3547 in exponential form is:

3547 = 35471

Now multiplying the highest exponent prime factors to calculate the LCM of 3540 and 3547.

LCM(3540,3547) = 22×31×51×591×35471
LCM(3540,3547) = 12556380

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 3547

List of positive integer factors of 3547 that divides 3547 without a remainder.

1, 3547

Least Common Multiple of 3540 and 3547 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 3547, than apply into the LCM equation.

GCF(3540,3547) = 1
LCM(3540,3547) = ( 3540 × 3547) / 1
LCM(3540,3547) = 12556380 / 1
LCM(3540,3547) = 12556380

Properties of LCM 3540 and 3547

(i) The LCM of 3547 and 3540 is associative

LCM of 3540 and 3547 = LCM of 3547 and 3540

Related Least Common Multiples of 3540

Related Least Common Multiples of 3547

Frequently Asked Questions on LCM of 3540 and 3547

1. What is the LCM of 3540 and 3547?

Answer: LCM of 3540 and 3547 is 12556380.

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 3547?

Answer: Factors of 3547 are 1, 3547. There are 2 integers that are factors of 3547. The greatest factor of 3547 is 3547.

4. How to Find the LCM of 3540 and 3547?

Answer:

Least Common Multiple of 3540 and 3547 = 12556380

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 3547

3547 = 3547

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

LCM = 12556380 = 2 x 2 x 3 x 5 x 59 x 3547

Step 4: Therefore, the least common multiple of 3540 and 3547 is 12556380.