Least Common Multiple of 1558 and 1562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1558 and 1562 the smallest integer that is 1216798 that is divisible by both numbers.

Least Common Multiple (LCM) of 1558 and 1562 is 1216798.

LCM(1558,1562) = 1216798

LCM of 1558 and 1562

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

LCM of:
and

Least Common Multiple of 1558 and 1562

LCM of 1558 and 1562 is 1216798

Least common multiple can be found by multiplying the highest exponent prime factors of 1558 and 1562. First we will calculate the prime factors of 1558 and 1562.

Prime Factorization of 1558


2 1558
19 779
41 41
1

Prime factors of 1558 are 2, 19,41. Prime factorization of 1558 in exponential form is:

1558 = 21×191×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1558 and 1562.

LCM(1558,1562) = 21×111×191×411×711
LCM(1558,1562) = 1216798

Factors of 1558

List of positive integer factors of 1558 that divides 1558 without a remainder.

1, 2, 19, 38, 41, 82, 779, 1558

Factors of 1562

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

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

Least Common Multiple of 1558 and 1562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1558 and 1562, than apply into the LCM equation.

GCF(1558,1562) = 2
LCM(1558,1562) = ( 1558 × 1562) / 2
LCM(1558,1562) = 2433596 / 2
LCM(1558,1562) = 1216798

Properties of LCM 1558 and 1562

(i) The LCM of 1562 and 1558 is associative

LCM of 1558 and 1562 = LCM of 1562 and 1558

Related Least Common Multiples of 1558

Related Least Common Multiples of 1562

Frequently Asked Questions on LCM of 1558 and 1562

1. What is the LCM of 1558 and 1562?

Answer: LCM of 1558 and 1562 is 1216798.

2. What are the Factors of 1558?

Answer: Factors of 1558 are 1, 2, 19, 38, 41, 82, 779, 1558. There are 8 integers that are factors of 1558. The greatest factor of 1558 is 1558.

3. 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.

4. How to Find the LCM of 1558 and 1562?

Answer:

Least Common Multiple of 1558 and 1562 = 1216798

Step 1: Find the prime factorization of 1558

1558 = 2 x 19 x 41

Step 2: Find the prime factorization of 1562

1562 = 2 x 11 x 71

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

LCM = 1216798 = 2 x 11 x 19 x 41 x 71

Step 4: Therefore, the least common multiple of 1558 and 1562 is 1216798.