Least Common Multiple (LCM) of 150 and 97
The least common multiple (LCM) of 150 and 97 is 14550.
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 97?
First, calculate the GCD of 150 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 97 = 1 remainder 53 |
| 2 | 97 ÷ 53 = 1 remainder 44 |
| 3 | 53 ÷ 44 = 1 remainder 9 |
| 4 | 44 ÷ 9 = 4 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 66 | 990 |
| 153 and 147 | 7497 |
| 12 and 162 | 324 |
| 14 and 36 | 252 |
| 76 and 74 | 2812 |