Least Common Multiple (LCM) of 172 and 138
The least common multiple (LCM) of 172 and 138 is 11868.
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 172 and 138?
First, calculate the GCD of 172 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 138 = 1 remainder 34 |
| 2 | 138 ÷ 34 = 4 remainder 2 |
| 3 | 34 ÷ 2 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 37 | 6623 |
| 49 and 59 | 2891 |
| 192 and 108 | 1728 |
| 134 and 149 | 19966 |
| 129 and 89 | 11481 |