Least Common Multiple of 1550 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 1550 and 1558 the smallest integer that is 1207450 that is divisible by both numbers.

Least Common Multiple (LCM) of 1550 and 1558 is 1207450.

LCM(1550,1558) = 1207450

LCM of 1550 and 1558

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

LCM of:
and

Least Common Multiple of 1550 and 1558

LCM of 1550 and 1558 is 1207450

Least common multiple can be found by multiplying the highest exponent prime factors of 1550 and 1558. First we will calculate the prime factors of 1550 and 1558.

Prime Factorization of 1550


2 1550
5 775
5 155
31 31
1

Prime factors of 1550 are 2, 5,31. Prime factorization of 1550 in exponential form is:

1550 = 21×52×311

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 1550 and 1558.

LCM(1550,1558) = 21×52×191×311×411
LCM(1550,1558) = 1207450

Factors of 1550

List of positive integer factors of 1550 that divides 1550 without a remainder.

1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550

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 1550 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 1550 and 1558, than apply into the LCM equation.

GCF(1550,1558) = 2
LCM(1550,1558) = ( 1550 × 1558) / 2
LCM(1550,1558) = 2414900 / 2
LCM(1550,1558) = 1207450

Properties of LCM 1550 and 1558

(i) The LCM of 1558 and 1550 is associative

LCM of 1550 and 1558 = LCM of 1558 and 1550

Related Least Common Multiples of 1550

Related Least Common Multiples of 1558

Frequently Asked Questions on LCM of 1550 and 1558

1. What is the LCM of 1550 and 1558?

Answer: LCM of 1550 and 1558 is 1207450.

2. What are the Factors of 1550?

Answer: Factors of 1550 are 1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550. There are 12 integers that are factors of 1550. The greatest factor of 1550 is 1550.

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 1550 and 1558?

Answer:

Least Common Multiple of 1550 and 1558 = 1207450

Step 1: Find the prime factorization of 1550

1550 = 2 x 5 x 5 x 31

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 = 1207450 = 2 x 5 x 5 x 19 x 31 x 41

Step 4: Therefore, the least common multiple of 1550 and 1558 is 1207450.