Least Common Multiple (LCM) of 152 and 197
The least common multiple (LCM) of 152 and 197 is 29944.
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 152 and 197?
First, calculate the GCD of 152 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 197 = 0 remainder 152 |
| 2 | 197 ÷ 152 = 1 remainder 45 |
| 3 | 152 ÷ 45 = 3 remainder 17 |
| 4 | 45 ÷ 17 = 2 remainder 11 |
| 5 | 17 ÷ 11 = 1 remainder 6 |
| 6 | 11 ÷ 6 = 1 remainder 5 |
| 7 | 6 ÷ 5 = 1 remainder 1 |
| 8 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 112 | 7728 |
| 163 and 75 | 12225 |
| 58 and 134 | 3886 |
| 130 and 161 | 20930 |
| 45 and 163 | 7335 |