Least Common Multiple of 3574 and 3576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3574 and 3576 the smallest integer that is 6390312 that is divisible by both numbers.

Least Common Multiple (LCM) of 3574 and 3576 is 6390312.

LCM(3574,3576) = 6390312

LCM of 3574 and 3576

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

LCM of:
and

Least Common Multiple of 3574 and 3576

LCM of 3574 and 3576 is 6390312

Least common multiple can be found by multiplying the highest exponent prime factors of 3574 and 3576. First we will calculate the prime factors of 3574 and 3576.

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

Prime Factorization of 3576


2 3576
2 1788
2 894
3 447
149 149
1

Prime factors of 3576 are 2, 3,149. Prime factorization of 3576 in exponential form is:

3576 = 23×31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 3574 and 3576.

LCM(3574,3576) = 23×31×1491×17871
LCM(3574,3576) = 6390312

Factors of 3574

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

1, 2, 1787, 3574

Factors of 3576

List of positive integer factors of 3576 that divides 3576 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788, 3576

Least Common Multiple of 3574 and 3576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3574 and 3576, than apply into the LCM equation.

GCF(3574,3576) = 2
LCM(3574,3576) = ( 3574 × 3576) / 2
LCM(3574,3576) = 12780624 / 2
LCM(3574,3576) = 6390312

Properties of LCM 3574 and 3576

(i) The LCM of 3576 and 3574 is associative

LCM of 3574 and 3576 = LCM of 3576 and 3574

Related Least Common Multiples of 3574

Related Least Common Multiples of 3576

Frequently Asked Questions on LCM of 3574 and 3576

1. What is the LCM of 3574 and 3576?

Answer: LCM of 3574 and 3576 is 6390312.

2. 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.

3. What are the Factors of 3576?

Answer: Factors of 3576 are 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788, 3576. There are 16 integers that are factors of 3576. The greatest factor of 3576 is 3576.

4. How to Find the LCM of 3574 and 3576?

Answer:

Least Common Multiple of 3574 and 3576 = 6390312

Step 1: Find the prime factorization of 3574

3574 = 2 x 1787

Step 2: Find the prime factorization of 3576

3576 = 2 x 2 x 2 x 3 x 149

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

LCM = 6390312 = 2 x 2 x 2 x 3 x 149 x 1787

Step 4: Therefore, the least common multiple of 3574 and 3576 is 6390312.