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 |
|---|---|
| 173 and 124 | 21452 |
| 150 and 191 | 28650 |
| 189 and 171 | 3591 |
| 104 and 151 | 15704 |
| 178 and 87 | 15486 |