Least Common Multiple (LCM) of 139 and 150
The least common multiple (LCM) of 139 and 150 is 20850.
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 150?
First, calculate the GCD of 139 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 150 = 0 remainder 139 |
| 2 | 150 ÷ 139 = 1 remainder 11 |
| 3 | 139 ÷ 11 = 12 remainder 7 |
| 4 | 11 ÷ 7 = 1 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 153 | 20961 |
| 197 and 37 | 7289 |
| 61 and 100 | 6100 |
| 36 and 62 | 1116 |
| 38 and 49 | 1862 |