Least Common Multiple of 3570 and 3574

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 3574 the smallest integer that is 6379590 that is divisible by both numbers.

Least Common Multiple (LCM) of 3570 and 3574 is 6379590.

LCM(3570,3574) = 6379590

LCM of 3570 and 3574

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

LCM of:
and

Least Common Multiple of 3570 and 3574

LCM of 3570 and 3574 is 6379590

Least common multiple can be found by multiplying the highest exponent prime factors of 3570 and 3574. First we will calculate the prime factors of 3570 and 3574.

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 3574


2 3574
1787 1787
1

Prime factors of 3574 are 2,1787. Prime factorization of 3574 in exponential form is:

3574 = 21×17871

Now multiplying the highest exponent prime factors to calculate the LCM of 3570 and 3574.

LCM(3570,3574) = 21×31×51×71×171×17871
LCM(3570,3574) = 6379590

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 3574

List of positive integer factors of 3574 that divides 3574 without a remainder.

1, 2, 1787, 3574

Least Common Multiple of 3570 and 3574 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 3574, than apply into the LCM equation.

GCF(3570,3574) = 2
LCM(3570,3574) = ( 3570 × 3574) / 2
LCM(3570,3574) = 12759180 / 2
LCM(3570,3574) = 6379590

Properties of LCM 3570 and 3574

(i) The LCM of 3574 and 3570 is associative

LCM of 3570 and 3574 = LCM of 3574 and 3570

Related Least Common Multiples of 3570

Related Least Common Multiples of 3574

Frequently Asked Questions on LCM of 3570 and 3574

1. What is the LCM of 3570 and 3574?

Answer: LCM of 3570 and 3574 is 6379590.

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 3574?

Answer: Factors of 3574 are 1, 2, 1787, 3574. There are 4 integers that are factors of 3574. The greatest factor of 3574 is 3574.

4. How to Find the LCM of 3570 and 3574?

Answer:

Least Common Multiple of 3570 and 3574 = 6379590

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 3574

3574 = 2 x 1787

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

LCM = 6379590 = 2 x 3 x 5 x 7 x 17 x 1787

Step 4: Therefore, the least common multiple of 3570 and 3574 is 6379590.