Least Common Multiple of 5570 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 5570 and 5577 the smallest integer that is 31063890 that is divisible by both numbers.

Least Common Multiple (LCM) of 5570 and 5577 is 31063890.

LCM(5570,5577) = 31063890

LCM of 5570 and 5577

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

LCM of:
and

Least Common Multiple of 5570 and 5577

LCM of 5570 and 5577 is 31063890

Least common multiple can be found by multiplying the highest exponent prime factors of 5570 and 5577. First we will calculate the prime factors of 5570 and 5577.

Prime Factorization of 5570


2 5570
5 2785
557 557
1

Prime factors of 5570 are 2, 5,557. Prime factorization of 5570 in exponential form is:

5570 = 21×51×5571

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 5570 and 5577.

LCM(5570,5577) = 21×31×51×111×132×5571
LCM(5570,5577) = 31063890

Factors of 5570

List of positive integer factors of 5570 that divides 5570 without a remainder.

1, 2, 5, 10, 557, 1114, 2785, 5570

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 5570 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 5570 and 5577, than apply into the LCM equation.

GCF(5570,5577) = 1
LCM(5570,5577) = ( 5570 × 5577) / 1
LCM(5570,5577) = 31063890 / 1
LCM(5570,5577) = 31063890

Properties of LCM 5570 and 5577

(i) The LCM of 5577 and 5570 is associative

LCM of 5570 and 5577 = LCM of 5577 and 5570

Related Least Common Multiples of 5570

Related Least Common Multiples of 5577

Frequently Asked Questions on LCM of 5570 and 5577

1. What is the LCM of 5570 and 5577?

Answer: LCM of 5570 and 5577 is 31063890.

2. What are the Factors of 5570?

Answer: Factors of 5570 are 1, 2, 5, 10, 557, 1114, 2785, 5570. There are 8 integers that are factors of 5570. The greatest factor of 5570 is 5570.

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 5570 and 5577?

Answer:

Least Common Multiple of 5570 and 5577 = 31063890

Step 1: Find the prime factorization of 5570

5570 = 2 x 5 x 557

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 = 31063890 = 2 x 3 x 5 x 11 x 13 x 13 x 557

Step 4: Therefore, the least common multiple of 5570 and 5577 is 31063890.