Least Common Multiple (LCM) of 177 and 139
The least common multiple (LCM) of 177 and 139 is 24603.
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 177 and 139?
First, calculate the GCD of 177 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 139 = 1 remainder 38 |
| 2 | 139 ÷ 38 = 3 remainder 25 |
| 3 | 38 ÷ 25 = 1 remainder 13 |
| 4 | 25 ÷ 13 = 1 remainder 12 |
| 5 | 13 ÷ 12 = 1 remainder 1 |
| 6 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 109 | 15914 |
| 50 and 167 | 8350 |
| 161 and 160 | 25760 |
| 79 and 74 | 5846 |
| 132 and 20 | 660 |