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 |
|---|---|
| 45 and 108 | 540 |
| 104 and 150 | 7800 |
| 109 and 79 | 8611 |
| 108 and 171 | 2052 |
| 65 and 55 | 715 |