Least Common Multiple of 557 and 565

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 565 the smallest integer that is 314705 that is divisible by both numbers.

Least Common Multiple (LCM) of 557 and 565 is 314705.

LCM(557,565) = 314705

LCM of 557 and 565

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

LCM of:
and

Least Common Multiple of 557 and 565

LCM of 557 and 565 is 314705

Least common multiple can be found by multiplying the highest exponent prime factors of 557 and 565. First we will calculate the prime factors of 557 and 565.

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 565


5 565
113 113
1

Prime factors of 565 are 5,113. Prime factorization of 565 in exponential form is:

565 = 51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 557 and 565.

LCM(557,565) = 51×1131×5571
LCM(557,565) = 314705

Factors of 557

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

1, 557

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Least Common Multiple of 557 and 565 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 565, than apply into the LCM equation.

GCF(557,565) = 1
LCM(557,565) = ( 557 × 565) / 1
LCM(557,565) = 314705 / 1
LCM(557,565) = 314705

Properties of LCM 557 and 565

(i) The LCM of 565 and 557 is associative

LCM of 557 and 565 = LCM of 565 and 557

Related Least Common Multiples of 557

Related Least Common Multiples of 565

Frequently Asked Questions on LCM of 557 and 565

1. What is the LCM of 557 and 565?

Answer: LCM of 557 and 565 is 314705.

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 565?

Answer: Factors of 565 are 1, 5, 113, 565. There are 4 integers that are factors of 565. The greatest factor of 565 is 565.

4. How to Find the LCM of 557 and 565?

Answer:

Least Common Multiple of 557 and 565 = 314705

Step 1: Find the prime factorization of 557

557 = 557

Step 2: Find the prime factorization of 565

565 = 5 x 113

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

LCM = 314705 = 5 x 113 x 557

Step 4: Therefore, the least common multiple of 557 and 565 is 314705.