Least Common Multiple of 567 and 573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 567 and 573 the smallest integer that is 108297 that is divisible by both numbers.

Least Common Multiple (LCM) of 567 and 573 is 108297.

LCM(567,573) = 108297

LCM of 567 and 573

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

LCM of:
and

Least Common Multiple of 567 and 573

LCM of 567 and 573 is 108297

Least common multiple can be found by multiplying the highest exponent prime factors of 567 and 573. First we will calculate the prime factors of 567 and 573.

Prime Factorization of 567


3 567
3 189
3 63
3 21
7 7
1

Prime factors of 567 are 3,7. Prime factorization of 567 in exponential form is:

567 = 34×71

Prime Factorization of 573


3 573
191 191
1

Prime factors of 573 are 3,191. Prime factorization of 573 in exponential form is:

573 = 31×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 567 and 573.

LCM(567,573) = 34×71×1911
LCM(567,573) = 108297

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Least Common Multiple of 567 and 573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 567 and 573, than apply into the LCM equation.

GCF(567,573) = 3
LCM(567,573) = ( 567 × 573) / 3
LCM(567,573) = 324891 / 3
LCM(567,573) = 108297

Properties of LCM 567 and 573

(i) The LCM of 573 and 567 is associative

LCM of 567 and 573 = LCM of 573 and 567

Related Least Common Multiples of 567

Related Least Common Multiples of 573

Frequently Asked Questions on LCM of 567 and 573

1. What is the LCM of 567 and 573?

Answer: LCM of 567 and 573 is 108297.

2. What are the Factors of 567?

Answer: Factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567. There are 10 integers that are factors of 567. The greatest factor of 567 is 567.

3. What are the Factors of 573?

Answer: Factors of 573 are 1, 3, 191, 573. There are 4 integers that are factors of 573. The greatest factor of 573 is 573.

4. How to Find the LCM of 567 and 573?

Answer:

Least Common Multiple of 567 and 573 = 108297

Step 1: Find the prime factorization of 567

567 = 3 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 573

573 = 3 x 191

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

LCM = 108297 = 3 x 3 x 3 x 3 x 7 x 191

Step 4: Therefore, the least common multiple of 567 and 573 is 108297.