Least Common Multiple of 5572 and 5576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5572 and 5576 the smallest integer that is 7767368 that is divisible by both numbers.

Least Common Multiple (LCM) of 5572 and 5576 is 7767368.

LCM(5572,5576) = 7767368

LCM of 5572 and 5576

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

LCM of:
and

Least Common Multiple of 5572 and 5576

LCM of 5572 and 5576 is 7767368

Least common multiple can be found by multiplying the highest exponent prime factors of 5572 and 5576. First we will calculate the prime factors of 5572 and 5576.

Prime Factorization of 5572


2 5572
2 2786
7 1393
199 199
1

Prime factors of 5572 are 2, 7,199. Prime factorization of 5572 in exponential form is:

5572 = 22×71×1991

Prime Factorization of 5576


2 5576
2 2788
2 1394
17 697
41 41
1

Prime factors of 5576 are 2, 17,41. Prime factorization of 5576 in exponential form is:

5576 = 23×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5572 and 5576.

LCM(5572,5576) = 23×71×171×411×1991
LCM(5572,5576) = 7767368

Factors of 5572

List of positive integer factors of 5572 that divides 5572 without a remainder.

1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572

Factors of 5576

List of positive integer factors of 5576 that divides 5576 without a remainder.

1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 328, 697, 1394, 2788, 5576

Least Common Multiple of 5572 and 5576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5572 and 5576, than apply into the LCM equation.

GCF(5572,5576) = 4
LCM(5572,5576) = ( 5572 × 5576) / 4
LCM(5572,5576) = 31069472 / 4
LCM(5572,5576) = 7767368

Properties of LCM 5572 and 5576

(i) The LCM of 5576 and 5572 is associative

LCM of 5572 and 5576 = LCM of 5576 and 5572

Related Least Common Multiples of 5572

Related Least Common Multiples of 5576

Frequently Asked Questions on LCM of 5572 and 5576

1. What is the LCM of 5572 and 5576?

Answer: LCM of 5572 and 5576 is 7767368.

2. What are the Factors of 5572?

Answer: Factors of 5572 are 1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572. There are 12 integers that are factors of 5572. The greatest factor of 5572 is 5572.

3. What are the Factors of 5576?

Answer: Factors of 5576 are 1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 328, 697, 1394, 2788, 5576. There are 16 integers that are factors of 5576. The greatest factor of 5576 is 5576.

4. How to Find the LCM of 5572 and 5576?

Answer:

Least Common Multiple of 5572 and 5576 = 7767368

Step 1: Find the prime factorization of 5572

5572 = 2 x 2 x 7 x 199

Step 2: Find the prime factorization of 5576

5576 = 2 x 2 x 2 x 17 x 41

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

LCM = 7767368 = 2 x 2 x 2 x 7 x 17 x 41 x 199

Step 4: Therefore, the least common multiple of 5572 and 5576 is 7767368.