Least Common Multiple (LCM) of 151 and 197
The least common multiple (LCM) of 151 and 197 is 29747.
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 151 and 197?
First, calculate the GCD of 151 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 197 = 0 remainder 151 |
| 2 | 197 ÷ 151 = 1 remainder 46 |
| 3 | 151 ÷ 46 = 3 remainder 13 |
| 4 | 46 ÷ 13 = 3 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 50 | 350 |
| 199 and 61 | 12139 |
| 139 and 37 | 5143 |
| 61 and 24 | 1464 |
| 82 and 26 | 1066 |