Least Common Multiple of 3532 and 3540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3532 and 3540 the smallest integer that is 3125820 that is divisible by both numbers.

Least Common Multiple (LCM) of 3532 and 3540 is 3125820.

LCM(3532,3540) = 3125820

LCM of 3532 and 3540

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

LCM of:
and

Least Common Multiple of 3532 and 3540

LCM of 3532 and 3540 is 3125820

Least common multiple can be found by multiplying the highest exponent prime factors of 3532 and 3540. First we will calculate the prime factors of 3532 and 3540.

Prime Factorization of 3532


2 3532
2 1766
883 883
1

Prime factors of 3532 are 2,883. Prime factorization of 3532 in exponential form is:

3532 = 22×8831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3532 and 3540.

LCM(3532,3540) = 22×31×51×591×8831
LCM(3532,3540) = 3125820

Factors of 3532

List of positive integer factors of 3532 that divides 3532 without a remainder.

1, 2, 4, 883, 1766, 3532

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

Least Common Multiple of 3532 and 3540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3532 and 3540, than apply into the LCM equation.

GCF(3532,3540) = 4
LCM(3532,3540) = ( 3532 × 3540) / 4
LCM(3532,3540) = 12503280 / 4
LCM(3532,3540) = 3125820

Properties of LCM 3532 and 3540

(i) The LCM of 3540 and 3532 is associative

LCM of 3532 and 3540 = LCM of 3540 and 3532

Related Least Common Multiples of 3532

Related Least Common Multiples of 3540

Frequently Asked Questions on LCM of 3532 and 3540

1. What is the LCM of 3532 and 3540?

Answer: LCM of 3532 and 3540 is 3125820.

2. What are the Factors of 3532?

Answer: Factors of 3532 are 1, 2, 4, 883, 1766, 3532. There are 6 integers that are factors of 3532. The greatest factor of 3532 is 3532.

3. 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.

4. How to Find the LCM of 3532 and 3540?

Answer:

Least Common Multiple of 3532 and 3540 = 3125820

Step 1: Find the prime factorization of 3532

3532 = 2 x 2 x 883

Step 2: Find the prime factorization of 3540

3540 = 2 x 2 x 3 x 5 x 59

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

LCM = 3125820 = 2 x 2 x 3 x 5 x 59 x 883

Step 4: Therefore, the least common multiple of 3532 and 3540 is 3125820.