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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 1554 and 1550 is associative
LCM of 1550 and 1554 = LCM of 1554 and 1550
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.