Least Common Multiple (LCM) of 167 and 138
The least common multiple (LCM) of 167 and 138 is 23046.
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 167 and 138?
First, calculate the GCD of 167 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 138 = 1 remainder 29 |
| 2 | 138 ÷ 29 = 4 remainder 22 |
| 3 | 29 ÷ 22 = 1 remainder 7 |
| 4 | 22 ÷ 7 = 3 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 76 | 380 |
| 90 and 50 | 450 |
| 172 and 170 | 14620 |
| 174 and 14 | 1218 |
| 175 and 122 | 21350 |