Least Common Multiple of 1554 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 1554 and 1562 the smallest integer that is 1213674 that is divisible by both numbers.

Least Common Multiple (LCM) of 1554 and 1562 is 1213674.

LCM(1554,1562) = 1213674

LCM of 1554 and 1562

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

LCM of:
and

Least Common Multiple of 1554 and 1562

LCM of 1554 and 1562 is 1213674

Least common multiple can be found by multiplying the highest exponent prime factors of 1554 and 1562. First we will calculate the prime factors of 1554 and 1562.

Prime Factorization of 1554


2 1554
3 777
7 259
37 37
1

Prime factors of 1554 are 2, 3, 7,37. Prime factorization of 1554 in exponential form is:

1554 = 21×31×71×371

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 1554 and 1562.

LCM(1554,1562) = 21×31×71×111×371×711
LCM(1554,1562) = 1213674

Factors of 1554

List of positive integer factors of 1554 that divides 1554 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 42, 74, 111, 222, 259, 518, 777, 1554

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 1554 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 1554 and 1562, than apply into the LCM equation.

GCF(1554,1562) = 2
LCM(1554,1562) = ( 1554 × 1562) / 2
LCM(1554,1562) = 2427348 / 2
LCM(1554,1562) = 1213674

Properties of LCM 1554 and 1562

(i) The LCM of 1562 and 1554 is associative

LCM of 1554 and 1562 = LCM of 1562 and 1554

Related Least Common Multiples of 1554

Related Least Common Multiples of 1562

Frequently Asked Questions on LCM of 1554 and 1562

1. What is the LCM of 1554 and 1562?

Answer: LCM of 1554 and 1562 is 1213674.

2. What are the Factors of 1554?

Answer: Factors of 1554 are 1, 2, 3, 6, 7, 14, 21, 37, 42, 74, 111, 222, 259, 518, 777, 1554. There are 16 integers that are factors of 1554. The greatest factor of 1554 is 1554.

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 1554 and 1562?

Answer:

Least Common Multiple of 1554 and 1562 = 1213674

Step 1: Find the prime factorization of 1554

1554 = 2 x 3 x 7 x 37

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 = 1213674 = 2 x 3 x 7 x 11 x 37 x 71

Step 4: Therefore, the least common multiple of 1554 and 1562 is 1213674.