Least Common Multiple (LCM) of 139 and 87
The least common multiple (LCM) of 139 and 87 is 12093.
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 87?
First, calculate the GCD of 139 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 87 = 1 remainder 52 |
| 2 | 87 ÷ 52 = 1 remainder 35 |
| 3 | 52 ÷ 35 = 1 remainder 17 |
| 4 | 35 ÷ 17 = 2 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 120 | 2040 |
| 75 and 107 | 8025 |
| 81 and 119 | 9639 |
| 87 and 196 | 17052 |
| 60 and 68 | 1020 |