Least Common Multiple of 1567 and 1573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1567 and 1573 the smallest integer that is 2464891 that is divisible by both numbers.

Least Common Multiple (LCM) of 1567 and 1573 is 2464891.

LCM(1567,1573) = 2464891

LCM of 1567 and 1573

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

LCM of:
and

Least Common Multiple of 1567 and 1573

LCM of 1567 and 1573 is 2464891

Least common multiple can be found by multiplying the highest exponent prime factors of 1567 and 1573. First we will calculate the prime factors of 1567 and 1573.

Prime Factorization of 1567


1567 1567
1

Prime factors of 1567 are 1567. Prime factorization of 1567 in exponential form is:

1567 = 15671

Prime Factorization of 1573


11 1573
11 143
13 13
1

Prime factors of 1573 are 11,13. Prime factorization of 1573 in exponential form is:

1573 = 112×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1567 and 1573.

LCM(1567,1573) = 112×131×15671
LCM(1567,1573) = 2464891

Factors of 1567

List of positive integer factors of 1567 that divides 1567 without a remainder.

1, 1567

Factors of 1573

List of positive integer factors of 1573 that divides 1573 without a remainder.

1, 11, 13, 121, 143, 1573

Least Common Multiple of 1567 and 1573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1567 and 1573, than apply into the LCM equation.

GCF(1567,1573) = 1
LCM(1567,1573) = ( 1567 × 1573) / 1
LCM(1567,1573) = 2464891 / 1
LCM(1567,1573) = 2464891

Properties of LCM 1567 and 1573

(i) The LCM of 1573 and 1567 is associative

LCM of 1567 and 1573 = LCM of 1573 and 1567

Related Least Common Multiples of 1567

Related Least Common Multiples of 1573

Frequently Asked Questions on LCM of 1567 and 1573

1. What is the LCM of 1567 and 1573?

Answer: LCM of 1567 and 1573 is 2464891.

2. What are the Factors of 1567?

Answer: Factors of 1567 are 1, 1567. There are 2 integers that are factors of 1567. The greatest factor of 1567 is 1567.

3. What are the Factors of 1573?

Answer: Factors of 1573 are 1, 11, 13, 121, 143, 1573. There are 6 integers that are factors of 1573. The greatest factor of 1573 is 1573.

4. How to Find the LCM of 1567 and 1573?

Answer:

Least Common Multiple of 1567 and 1573 = 2464891

Step 1: Find the prime factorization of 1567

1567 = 1567

Step 2: Find the prime factorization of 1573

1573 = 11 x 11 x 13

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

LCM = 2464891 = 11 x 11 x 13 x 1567

Step 4: Therefore, the least common multiple of 1567 and 1573 is 2464891.