Least Common Multiple (LCM) of 22 and 139
The least common multiple (LCM) of 22 and 139 is 3058.
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 22 and 139?
First, calculate the GCD of 22 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 139 = 0 remainder 22 |
| 2 | 139 ÷ 22 = 6 remainder 7 |
| 3 | 22 ÷ 7 = 3 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 52 | 6500 |
| 114 and 146 | 8322 |
| 10 and 185 | 370 |
| 83 and 126 | 10458 |
| 178 and 56 | 4984 |