Least Common Multiple of 557 and 562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 557 and 562 the smallest integer that is 313034 that is divisible by both numbers.

Least Common Multiple (LCM) of 557 and 562 is 313034.

LCM(557,562) = 313034

LCM of 557 and 562

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

LCM of:
and

Least Common Multiple of 557 and 562

LCM of 557 and 562 is 313034

Least common multiple can be found by multiplying the highest exponent prime factors of 557 and 562. First we will calculate the prime factors of 557 and 562.

Prime Factorization of 557


557 557
1

Prime factors of 557 are 557. Prime factorization of 557 in exponential form is:

557 = 5571

Prime Factorization of 562


2 562
281 281
1

Prime factors of 562 are 2,281. Prime factorization of 562 in exponential form is:

562 = 21×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 557 and 562.

LCM(557,562) = 21×2811×5571
LCM(557,562) = 313034

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1, 557

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Least Common Multiple of 557 and 562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 557 and 562, than apply into the LCM equation.

GCF(557,562) = 1
LCM(557,562) = ( 557 × 562) / 1
LCM(557,562) = 313034 / 1
LCM(557,562) = 313034

Properties of LCM 557 and 562

(i) The LCM of 562 and 557 is associative

LCM of 557 and 562 = LCM of 562 and 557

Related Least Common Multiples of 557

Related Least Common Multiples of 562

Frequently Asked Questions on LCM of 557 and 562

1. What is the LCM of 557 and 562?

Answer: LCM of 557 and 562 is 313034.

2. What are the Factors of 557?

Answer: Factors of 557 are 1, 557. There are 2 integers that are factors of 557. The greatest factor of 557 is 557.

3. What are the Factors of 562?

Answer: Factors of 562 are 1, 2, 281, 562. There are 4 integers that are factors of 562. The greatest factor of 562 is 562.

4. How to Find the LCM of 557 and 562?

Answer:

Least Common Multiple of 557 and 562 = 313034

Step 1: Find the prime factorization of 557

557 = 557

Step 2: Find the prime factorization of 562

562 = 2 x 281

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

LCM = 313034 = 2 x 281 x 557

Step 4: Therefore, the least common multiple of 557 and 562 is 313034.