Least Common Multiple (LCM) of 150 and 69
The least common multiple (LCM) of 150 and 69 is 3450.
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 69?
First, calculate the GCD of 150 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 69 = 2 remainder 12 |
| 2 | 69 ÷ 12 = 5 remainder 9 |
| 3 | 12 ÷ 9 = 1 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 57 | 4731 |
| 181 and 25 | 4525 |
| 79 and 152 | 12008 |
| 75 and 34 | 2550 |
| 52 and 10 | 260 |