Least Common Multiple (LCM) of 117 and 139
The least common multiple (LCM) of 117 and 139 is 16263.
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 117 and 139?
First, calculate the GCD of 117 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 139 = 0 remainder 117 |
| 2 | 139 ÷ 117 = 1 remainder 22 |
| 3 | 117 ÷ 22 = 5 remainder 7 |
| 4 | 22 ÷ 7 = 3 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 89 | 8099 |
| 179 and 49 | 8771 |
| 34 and 20 | 340 |
| 34 and 13 | 442 |
| 157 and 178 | 27946 |