Least Common Multiple (LCM) of 172 and 139
The least common multiple (LCM) of 172 and 139 is 23908.
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 139?
First, calculate the GCD of 172 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 139 = 1 remainder 33 |
| 2 | 139 ÷ 33 = 4 remainder 7 |
| 3 | 33 ÷ 7 = 4 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 62 | 7130 |
| 194 and 34 | 3298 |
| 81 and 169 | 13689 |
| 181 and 97 | 17557 |
| 193 and 42 | 8106 |