Least Common Multiple of 1554 and 1558

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 1558 the smallest integer that is 1210566 that is divisible by both numbers.

Least Common Multiple (LCM) of 1554 and 1558 is 1210566.

LCM(1554,1558) = 1210566

LCM of 1554 and 1558

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

LCM of:
and

Least Common Multiple of 1554 and 1558

LCM of 1554 and 1558 is 1210566

Least common multiple can be found by multiplying the highest exponent prime factors of 1554 and 1558. First we will calculate the prime factors of 1554 and 1558.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1554 and 1558.

LCM(1554,1558) = 21×31×71×191×371×411
LCM(1554,1558) = 1210566

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 1558

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

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

Least Common Multiple of 1554 and 1558 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 1558, than apply into the LCM equation.

GCF(1554,1558) = 2
LCM(1554,1558) = ( 1554 × 1558) / 2
LCM(1554,1558) = 2421132 / 2
LCM(1554,1558) = 1210566

Properties of LCM 1554 and 1558

(i) The LCM of 1558 and 1554 is associative

LCM of 1554 and 1558 = LCM of 1558 and 1554

Related Least Common Multiples of 1554

Related Least Common Multiples of 1558

Frequently Asked Questions on LCM of 1554 and 1558

1. What is the LCM of 1554 and 1558?

Answer: LCM of 1554 and 1558 is 1210566.

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 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.

4. How to Find the LCM of 1554 and 1558?

Answer:

Least Common Multiple of 1554 and 1558 = 1210566

Step 1: Find the prime factorization of 1554

1554 = 2 x 3 x 7 x 37

Step 2: Find the prime factorization of 1558

1558 = 2 x 19 x 41

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

LCM = 1210566 = 2 x 3 x 7 x 19 x 37 x 41

Step 4: Therefore, the least common multiple of 1554 and 1558 is 1210566.