Least Common Multiple of 3570 and 3575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3570 and 3575 the smallest integer that is 2552550 that is divisible by both numbers.

Least Common Multiple (LCM) of 3570 and 3575 is 2552550.

LCM(3570,3575) = 2552550

LCM of 3570 and 3575

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

LCM of:
and

Least Common Multiple of 3570 and 3575

LCM of 3570 and 3575 is 2552550

Least common multiple can be found by multiplying the highest exponent prime factors of 3570 and 3575. First we will calculate the prime factors of 3570 and 3575.

Prime Factorization of 3570


2 3570
3 1785
5 595
7 119
17 17
1

Prime factors of 3570 are 2, 3, 5, 7,17. Prime factorization of 3570 in exponential form is:

3570 = 21×31×51×71×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3570 and 3575.

LCM(3570,3575) = 21×31×52×71×111×131×171
LCM(3570,3575) = 2552550

Factors of 3570

List of positive integer factors of 3570 that divides 3570 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570

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

Least Common Multiple of 3570 and 3575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3570 and 3575, than apply into the LCM equation.

GCF(3570,3575) = 5
LCM(3570,3575) = ( 3570 × 3575) / 5
LCM(3570,3575) = 12762750 / 5
LCM(3570,3575) = 2552550

Properties of LCM 3570 and 3575

(i) The LCM of 3575 and 3570 is associative

LCM of 3570 and 3575 = LCM of 3575 and 3570

Related Least Common Multiples of 3570

Related Least Common Multiples of 3575

Frequently Asked Questions on LCM of 3570 and 3575

1. What is the LCM of 3570 and 3575?

Answer: LCM of 3570 and 3575 is 2552550.

2. What are the Factors of 3570?

Answer: Factors of 3570 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570. There are 32 integers that are factors of 3570. The greatest factor of 3570 is 3570.

3. 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.

4. How to Find the LCM of 3570 and 3575?

Answer:

Least Common Multiple of 3570 and 3575 = 2552550

Step 1: Find the prime factorization of 3570

3570 = 2 x 3 x 5 x 7 x 17

Step 2: Find the prime factorization of 3575

3575 = 5 x 5 x 11 x 13

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

LCM = 2552550 = 2 x 3 x 5 x 5 x 7 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 3570 and 3575 is 2552550.