Least Common Multiple (LCM) of 150 and 174
The least common multiple (LCM) of 150 and 174 is 4350.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 150 and 174?
First, calculate the GCD of 150 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 174 = 0 remainder 150 |
| 2 | 174 ÷ 150 = 1 remainder 24 |
| 3 | 150 ÷ 24 = 6 remainder 6 |
| 4 | 24 ÷ 6 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 55 | 1485 |
| 19 and 29 | 551 |
| 73 and 66 | 4818 |
| 104 and 14 | 728 |
| 200 and 120 | 600 |