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 |
|---|---|
| 184 and 146 | 13432 |
| 54 and 66 | 594 |
| 169 and 25 | 4225 |
| 200 and 180 | 1800 |
| 17 and 131 | 2227 |