Least Common Multiple (LCM) of 139 and 168
The least common multiple (LCM) of 139 and 168 is 23352.
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 139 and 168?
First, calculate the GCD of 139 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 168 = 0 remainder 139 |
| 2 | 168 ÷ 139 = 1 remainder 29 |
| 3 | 139 ÷ 29 = 4 remainder 23 |
| 4 | 29 ÷ 23 = 1 remainder 6 |
| 5 | 23 ÷ 6 = 3 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 151 | 151 |
| 19 and 55 | 1045 |
| 57 and 88 | 5016 |
| 38 and 85 | 3230 |
| 20 and 173 | 3460 |