Least Common Multiple (LCM) of 151 and 167
The least common multiple (LCM) of 151 and 167 is 25217.
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 167?
First, calculate the GCD of 151 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 167 = 0 remainder 151 |
| 2 | 167 ÷ 151 = 1 remainder 16 |
| 3 | 151 ÷ 16 = 9 remainder 7 |
| 4 | 16 ÷ 7 = 2 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 192 | 6336 |
| 124 and 55 | 6820 |
| 155 and 41 | 6355 |
| 158 and 177 | 27966 |
| 56 and 24 | 168 |