Least Common Multiple of 1562 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 1562 and 1567 the smallest integer that is 2447654 that is divisible by both numbers.

Least Common Multiple (LCM) of 1562 and 1567 is 2447654.

LCM(1562,1567) = 2447654

LCM of 1562 and 1567

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

LCM of:
and

Least Common Multiple of 1562 and 1567

LCM of 1562 and 1567 is 2447654

Least common multiple can be found by multiplying the highest exponent prime factors of 1562 and 1567. First we will calculate the prime factors of 1562 and 1567.

Prime Factorization of 1562


2 1562
11 781
71 71
1

Prime factors of 1562 are 2, 11,71. Prime factorization of 1562 in exponential form is:

1562 = 21×111×711

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 1562 and 1567.

LCM(1562,1567) = 21×111×711×15671
LCM(1562,1567) = 2447654

Factors of 1562

List of positive integer factors of 1562 that divides 1562 without a remainder.

1, 2, 11, 22, 71, 142, 781, 1562

Factors of 1567

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

1, 1567

Least Common Multiple of 1562 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 1562 and 1567, than apply into the LCM equation.

GCF(1562,1567) = 1
LCM(1562,1567) = ( 1562 × 1567) / 1
LCM(1562,1567) = 2447654 / 1
LCM(1562,1567) = 2447654

Properties of LCM 1562 and 1567

(i) The LCM of 1567 and 1562 is associative

LCM of 1562 and 1567 = LCM of 1567 and 1562

Related Least Common Multiples of 1562

Related Least Common Multiples of 1567

Frequently Asked Questions on LCM of 1562 and 1567

1. What is the LCM of 1562 and 1567?

Answer: LCM of 1562 and 1567 is 2447654.

2. What are the Factors of 1562?

Answer: Factors of 1562 are 1, 2, 11, 22, 71, 142, 781, 1562. There are 8 integers that are factors of 1562. The greatest factor of 1562 is 1562.

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 1562 and 1567?

Answer:

Least Common Multiple of 1562 and 1567 = 2447654

Step 1: Find the prime factorization of 1562

1562 = 2 x 11 x 71

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 = 2447654 = 2 x 11 x 71 x 1567

Step 4: Therefore, the least common multiple of 1562 and 1567 is 2447654.