Least Common Multiple of 1557 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 1557 and 1562 the smallest integer that is 2432034 that is divisible by both numbers.

Least Common Multiple (LCM) of 1557 and 1562 is 2432034.

LCM(1557,1562) = 2432034

LCM of 1557 and 1562

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

LCM of:
and

Least Common Multiple of 1557 and 1562

LCM of 1557 and 1562 is 2432034

Least common multiple can be found by multiplying the highest exponent prime factors of 1557 and 1562. First we will calculate the prime factors of 1557 and 1562.

Prime Factorization of 1557


3 1557
3 519
173 173
1

Prime factors of 1557 are 3,173. Prime factorization of 1557 in exponential form is:

1557 = 32×1731

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 1557 and 1562.

LCM(1557,1562) = 21×32×111×711×1731
LCM(1557,1562) = 2432034

Factors of 1557

List of positive integer factors of 1557 that divides 1557 without a remainder.

1, 3, 9, 173, 519, 1557

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 1557 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 1557 and 1562, than apply into the LCM equation.

GCF(1557,1562) = 1
LCM(1557,1562) = ( 1557 × 1562) / 1
LCM(1557,1562) = 2432034 / 1
LCM(1557,1562) = 2432034

Properties of LCM 1557 and 1562

(i) The LCM of 1562 and 1557 is associative

LCM of 1557 and 1562 = LCM of 1562 and 1557

Related Least Common Multiples of 1557

Related Least Common Multiples of 1562

Frequently Asked Questions on LCM of 1557 and 1562

1. What is the LCM of 1557 and 1562?

Answer: LCM of 1557 and 1562 is 2432034.

2. What are the Factors of 1557?

Answer: Factors of 1557 are 1, 3, 9, 173, 519, 1557. There are 6 integers that are factors of 1557. The greatest factor of 1557 is 1557.

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 1557 and 1562?

Answer:

Least Common Multiple of 1557 and 1562 = 2432034

Step 1: Find the prime factorization of 1557

1557 = 3 x 3 x 173

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 = 2432034 = 2 x 3 x 3 x 11 x 71 x 173

Step 4: Therefore, the least common multiple of 1557 and 1562 is 2432034.