Least Common Multiple of 3575 and 3580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3575 and 3580 the smallest integer that is 2559700 that is divisible by both numbers.

Least Common Multiple (LCM) of 3575 and 3580 is 2559700.

LCM(3575,3580) = 2559700

LCM of 3575 and 3580

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

LCM of:
and

Least Common Multiple of 3575 and 3580

LCM of 3575 and 3580 is 2559700

Least common multiple can be found by multiplying the highest exponent prime factors of 3575 and 3580. First we will calculate the prime factors of 3575 and 3580.

Prime Factorization of 3575


5 3575
5 715
11 143
13 13
1

Prime factors of 3575 are 5, 11,13. Prime factorization of 3575 in exponential form is:

3575 = 52×111×131

Prime Factorization of 3580


2 3580
2 1790
5 895
179 179
1

Prime factors of 3580 are 2, 5,179. Prime factorization of 3580 in exponential form is:

3580 = 22×51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 3575 and 3580.

LCM(3575,3580) = 22×52×111×131×1791
LCM(3575,3580) = 2559700

Factors of 3575

List of positive integer factors of 3575 that divides 3575 without a remainder.

1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575

Factors of 3580

List of positive integer factors of 3580 that divides 3580 without a remainder.

1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790, 3580

Least Common Multiple of 3575 and 3580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3575 and 3580, than apply into the LCM equation.

GCF(3575,3580) = 5
LCM(3575,3580) = ( 3575 × 3580) / 5
LCM(3575,3580) = 12798500 / 5
LCM(3575,3580) = 2559700

Properties of LCM 3575 and 3580

(i) The LCM of 3580 and 3575 is associative

LCM of 3575 and 3580 = LCM of 3580 and 3575

Related Least Common Multiples of 3575

Related Least Common Multiples of 3580

Frequently Asked Questions on LCM of 3575 and 3580

1. What is the LCM of 3575 and 3580?

Answer: LCM of 3575 and 3580 is 2559700.

2. What are the Factors of 3575?

Answer: Factors of 3575 are 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575. There are 12 integers that are factors of 3575. The greatest factor of 3575 is 3575.

3. What are the Factors of 3580?

Answer: Factors of 3580 are 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790, 3580. There are 12 integers that are factors of 3580. The greatest factor of 3580 is 3580.

4. How to Find the LCM of 3575 and 3580?

Answer:

Least Common Multiple of 3575 and 3580 = 2559700

Step 1: Find the prime factorization of 3575

3575 = 5 x 5 x 11 x 13

Step 2: Find the prime factorization of 3580

3580 = 2 x 2 x 5 x 179

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

LCM = 2559700 = 2 x 2 x 5 x 5 x 11 x 13 x 179

Step 4: Therefore, the least common multiple of 3575 and 3580 is 2559700.