Least Common Multiple (LCM) of 139 and 177
The least common multiple (LCM) of 139 and 177 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 139 and 177?
First, calculate the GCD of 139 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 177 = 0 remainder 139 |
| 2 | 177 ÷ 139 = 1 remainder 38 |
| 3 | 139 ÷ 38 = 3 remainder 25 |
| 4 | 38 ÷ 25 = 1 remainder 13 |
| 5 | 25 ÷ 13 = 1 remainder 12 |
| 6 | 13 ÷ 12 = 1 remainder 1 |
| 7 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 56 | 6552 |
| 182 and 150 | 13650 |
| 89 and 155 | 13795 |
| 136 and 159 | 21624 |
| 88 and 79 | 6952 |