Least Common Multiple of 5570 and 5574

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 5574 the smallest integer that is 15523590 that is divisible by both numbers.

Least Common Multiple (LCM) of 5570 and 5574 is 15523590.

LCM(5570,5574) = 15523590

LCM of 5570 and 5574

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

LCM of:
and

Least Common Multiple of 5570 and 5574

LCM of 5570 and 5574 is 15523590

Least common multiple can be found by multiplying the highest exponent prime factors of 5570 and 5574. First we will calculate the prime factors of 5570 and 5574.

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 5574


2 5574
3 2787
929 929
1

Prime factors of 5574 are 2, 3,929. Prime factorization of 5574 in exponential form is:

5574 = 21×31×9291

Now multiplying the highest exponent prime factors to calculate the LCM of 5570 and 5574.

LCM(5570,5574) = 21×31×51×5571×9291
LCM(5570,5574) = 15523590

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 5574

List of positive integer factors of 5574 that divides 5574 without a remainder.

1, 2, 3, 6, 929, 1858, 2787, 5574

Least Common Multiple of 5570 and 5574 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 5574, than apply into the LCM equation.

GCF(5570,5574) = 2
LCM(5570,5574) = ( 5570 × 5574) / 2
LCM(5570,5574) = 31047180 / 2
LCM(5570,5574) = 15523590

Properties of LCM 5570 and 5574

(i) The LCM of 5574 and 5570 is associative

LCM of 5570 and 5574 = LCM of 5574 and 5570

Related Least Common Multiples of 5570

Related Least Common Multiples of 5574

Frequently Asked Questions on LCM of 5570 and 5574

1. What is the LCM of 5570 and 5574?

Answer: LCM of 5570 and 5574 is 15523590.

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 5574?

Answer: Factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574. There are 8 integers that are factors of 5574. The greatest factor of 5574 is 5574.

4. How to Find the LCM of 5570 and 5574?

Answer:

Least Common Multiple of 5570 and 5574 = 15523590

Step 1: Find the prime factorization of 5570

5570 = 2 x 5 x 557

Step 2: Find the prime factorization of 5574

5574 = 2 x 3 x 929

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

LCM = 15523590 = 2 x 3 x 5 x 557 x 929

Step 4: Therefore, the least common multiple of 5570 and 5574 is 15523590.