Least Common Multiple of 5572 and 5577

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 5577 the smallest integer that is 31075044 that is divisible by both numbers.

Least Common Multiple (LCM) of 5572 and 5577 is 31075044.

LCM(5572,5577) = 31075044

LCM of 5572 and 5577

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

LCM of:
and

Least Common Multiple of 5572 and 5577

LCM of 5572 and 5577 is 31075044

Least common multiple can be found by multiplying the highest exponent prime factors of 5572 and 5577. First we will calculate the prime factors of 5572 and 5577.

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 5577


3 5577
11 1859
13 169
13 13
1

Prime factors of 5577 are 3, 11,13. Prime factorization of 5577 in exponential form is:

5577 = 31×111×132

Now multiplying the highest exponent prime factors to calculate the LCM of 5572 and 5577.

LCM(5572,5577) = 22×31×71×111×132×1991
LCM(5572,5577) = 31075044

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 5577

List of positive integer factors of 5577 that divides 5577 without a remainder.

1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577

Least Common Multiple of 5572 and 5577 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 5577, than apply into the LCM equation.

GCF(5572,5577) = 1
LCM(5572,5577) = ( 5572 × 5577) / 1
LCM(5572,5577) = 31075044 / 1
LCM(5572,5577) = 31075044

Properties of LCM 5572 and 5577

(i) The LCM of 5577 and 5572 is associative

LCM of 5572 and 5577 = LCM of 5577 and 5572

Related Least Common Multiples of 5572

Related Least Common Multiples of 5577

Frequently Asked Questions on LCM of 5572 and 5577

1. What is the LCM of 5572 and 5577?

Answer: LCM of 5572 and 5577 is 31075044.

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 5577?

Answer: Factors of 5577 are 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577. There are 12 integers that are factors of 5577. The greatest factor of 5577 is 5577.

4. How to Find the LCM of 5572 and 5577?

Answer:

Least Common Multiple of 5572 and 5577 = 31075044

Step 1: Find the prime factorization of 5572

5572 = 2 x 2 x 7 x 199

Step 2: Find the prime factorization of 5577

5577 = 3 x 11 x 13 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 = 31075044 = 2 x 2 x 3 x 7 x 11 x 13 x 13 x 199

Step 4: Therefore, the least common multiple of 5572 and 5577 is 31075044.