Least Common Multiple of 5570 and 5578

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 5578 the smallest integer that is 15534730 that is divisible by both numbers.

Least Common Multiple (LCM) of 5570 and 5578 is 15534730.

LCM(5570,5578) = 15534730

LCM of 5570 and 5578

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

LCM of:
and

Least Common Multiple of 5570 and 5578

LCM of 5570 and 5578 is 15534730

Least common multiple can be found by multiplying the highest exponent prime factors of 5570 and 5578. First we will calculate the prime factors of 5570 and 5578.

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 5578


2 5578
2789 2789
1

Prime factors of 5578 are 2,2789. Prime factorization of 5578 in exponential form is:

5578 = 21×27891

Now multiplying the highest exponent prime factors to calculate the LCM of 5570 and 5578.

LCM(5570,5578) = 21×51×5571×27891
LCM(5570,5578) = 15534730

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 5578

List of positive integer factors of 5578 that divides 5578 without a remainder.

1, 2, 2789, 5578

Least Common Multiple of 5570 and 5578 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 5578, than apply into the LCM equation.

GCF(5570,5578) = 2
LCM(5570,5578) = ( 5570 × 5578) / 2
LCM(5570,5578) = 31069460 / 2
LCM(5570,5578) = 15534730

Properties of LCM 5570 and 5578

(i) The LCM of 5578 and 5570 is associative

LCM of 5570 and 5578 = LCM of 5578 and 5570

Related Least Common Multiples of 5570

Related Least Common Multiples of 5578

Frequently Asked Questions on LCM of 5570 and 5578

1. What is the LCM of 5570 and 5578?

Answer: LCM of 5570 and 5578 is 15534730.

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 5578?

Answer: Factors of 5578 are 1, 2, 2789, 5578. There are 4 integers that are factors of 5578. The greatest factor of 5578 is 5578.

4. How to Find the LCM of 5570 and 5578?

Answer:

Least Common Multiple of 5570 and 5578 = 15534730

Step 1: Find the prime factorization of 5570

5570 = 2 x 5 x 557

Step 2: Find the prime factorization of 5578

5578 = 2 x 2789

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

LCM = 15534730 = 2 x 5 x 557 x 2789

Step 4: Therefore, the least common multiple of 5570 and 5578 is 15534730.