Least Common Multiple (LCM) of 139 and 148
The least common multiple (LCM) of 139 and 148 is 20572.
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 148?
First, calculate the GCD of 139 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 148 = 0 remainder 139 |
| 2 | 148 ÷ 139 = 1 remainder 9 |
| 3 | 139 ÷ 9 = 15 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 157 | 22294 |
| 193 and 64 | 12352 |
| 74 and 137 | 10138 |
| 16 and 14 | 112 |
| 101 and 188 | 18988 |