Least Common Multiple (LCM) of 139 and 140
The least common multiple (LCM) of 139 and 140 is 19460.
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 140?
First, calculate the GCD of 139 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 140 = 0 remainder 139 |
| 2 | 140 ÷ 139 = 1 remainder 1 |
| 3 | 139 ÷ 1 = 139 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 111 | 11211 |
| 157 and 136 | 21352 |
| 95 and 63 | 5985 |
| 85 and 161 | 13685 |
| 129 and 172 | 516 |