Least Common Multiple of 1550 and 1554

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 1554 the smallest integer that is 1204350 that is divisible by both numbers.

Least Common Multiple (LCM) of 1550 and 1554 is 1204350.

LCM(1550,1554) = 1204350

LCM of 1550 and 1554

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

LCM of:
and

Least Common Multiple of 1550 and 1554

LCM of 1550 and 1554 is 1204350

Least common multiple can be found by multiplying the highest exponent prime factors of 1550 and 1554. First we will calculate the prime factors of 1550 and 1554.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1550 and 1554.

LCM(1550,1554) = 21×31×52×71×311×371
LCM(1550,1554) = 1204350

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 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

Least Common Multiple of 1550 and 1554 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 1554, than apply into the LCM equation.

GCF(1550,1554) = 2
LCM(1550,1554) = ( 1550 × 1554) / 2
LCM(1550,1554) = 2408700 / 2
LCM(1550,1554) = 1204350

Properties of LCM 1550 and 1554

(i) The LCM of 1554 and 1550 is associative

LCM of 1550 and 1554 = LCM of 1554 and 1550

Related Least Common Multiples of 1550

Related Least Common Multiples of 1554

Frequently Asked Questions on LCM of 1550 and 1554

1. What is the LCM of 1550 and 1554?

Answer: LCM of 1550 and 1554 is 1204350.

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 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.

4. How to Find the LCM of 1550 and 1554?

Answer:

Least Common Multiple of 1550 and 1554 = 1204350

Step 1: Find the prime factorization of 1550

1550 = 2 x 5 x 5 x 31

Step 2: Find the prime factorization of 1554

1554 = 2 x 3 x 7 x 37

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

LCM = 1204350 = 2 x 3 x 5 x 5 x 7 x 31 x 37

Step 4: Therefore, the least common multiple of 1550 and 1554 is 1204350.