Least Common Multiple (LCM) of 139 and 156
The least common multiple (LCM) of 139 and 156 is 21684.
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 156?
First, calculate the GCD of 139 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 156 = 0 remainder 139 |
| 2 | 156 ÷ 139 = 1 remainder 17 |
| 3 | 139 ÷ 17 = 8 remainder 3 |
| 4 | 17 ÷ 3 = 5 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 103 | 12360 |
| 72 and 94 | 3384 |
| 117 and 76 | 8892 |
| 198 and 85 | 16830 |
| 42 and 193 | 8106 |