Least Common Multiple (LCM) of 88 and 139
The least common multiple (LCM) of 88 and 139 is 12232.
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 88 and 139?
First, calculate the GCD of 88 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 139 = 0 remainder 88 |
| 2 | 139 ÷ 88 = 1 remainder 51 |
| 3 | 88 ÷ 51 = 1 remainder 37 |
| 4 | 51 ÷ 37 = 1 remainder 14 |
| 5 | 37 ÷ 14 = 2 remainder 9 |
| 6 | 14 ÷ 9 = 1 remainder 5 |
| 7 | 9 ÷ 5 = 1 remainder 4 |
| 8 | 5 ÷ 4 = 1 remainder 1 |
| 9 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 98 | 8624 |
| 119 and 167 | 19873 |
| 44 and 89 | 3916 |
| 83 and 129 | 10707 |
| 125 and 155 | 3875 |