Least Common Multiple of 1559 and 1567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1559 and 1567 the smallest integer that is 2442953 that is divisible by both numbers.

Least Common Multiple (LCM) of 1559 and 1567 is 2442953.

LCM(1559,1567) = 2442953

LCM of 1559 and 1567

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

LCM of:
and

Least Common Multiple of 1559 and 1567

LCM of 1559 and 1567 is 2442953

Least common multiple can be found by multiplying the highest exponent prime factors of 1559 and 1567. First we will calculate the prime factors of 1559 and 1567.

Prime Factorization of 1559


1559 1559
1

Prime factors of 1559 are 1559. Prime factorization of 1559 in exponential form is:

1559 = 15591

Prime Factorization of 1567


1567 1567
1

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

1567 = 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 1559 and 1567.

LCM(1559,1567) = 15591×15671
LCM(1559,1567) = 2442953

Factors of 1559

List of positive integer factors of 1559 that divides 1559 without a remainder.

1, 1559

Factors of 1567

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

1, 1567

Least Common Multiple of 1559 and 1567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1559 and 1567, than apply into the LCM equation.

GCF(1559,1567) = 1
LCM(1559,1567) = ( 1559 × 1567) / 1
LCM(1559,1567) = 2442953 / 1
LCM(1559,1567) = 2442953

Properties of LCM 1559 and 1567

(i) The LCM of 1567 and 1559 is associative

LCM of 1559 and 1567 = LCM of 1567 and 1559

Related Least Common Multiples of 1559

Related Least Common Multiples of 1567

Frequently Asked Questions on LCM of 1559 and 1567

1. What is the LCM of 1559 and 1567?

Answer: LCM of 1559 and 1567 is 2442953.

2. What are the Factors of 1559?

Answer: Factors of 1559 are 1, 1559. There are 2 integers that are factors of 1559. The greatest factor of 1559 is 1559.

3. 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.

4. How to Find the LCM of 1559 and 1567?

Answer:

Least Common Multiple of 1559 and 1567 = 2442953

Step 1: Find the prime factorization of 1559

1559 = 1559

Step 2: Find the prime factorization of 1567

1567 = 1567

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

LCM = 2442953 = 1559 x 1567

Step 4: Therefore, the least common multiple of 1559 and 1567 is 2442953.