Least Common Multiple (LCM) of 154 and 167
The least common multiple (LCM) of 154 and 167 is 25718.
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 154 and 167?
First, calculate the GCD of 154 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 167 = 0 remainder 154 |
| 2 | 167 ÷ 154 = 1 remainder 13 |
| 3 | 154 ÷ 13 = 11 remainder 11 |
| 4 | 13 ÷ 11 = 1 remainder 2 |
| 5 | 11 ÷ 2 = 5 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 178 | 14596 |
| 105 and 176 | 18480 |
| 64 and 75 | 4800 |
| 152 and 125 | 19000 |
| 29 and 109 | 3161 |