Least Common Multiple (LCM) of 139 and 100
The least common multiple (LCM) of 139 and 100 is 13900.
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 100?
First, calculate the GCD of 139 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 100 = 1 remainder 39 |
| 2 | 100 ÷ 39 = 2 remainder 22 |
| 3 | 39 ÷ 22 = 1 remainder 17 |
| 4 | 22 ÷ 17 = 1 remainder 5 |
| 5 | 17 ÷ 5 = 3 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 142 | 25702 |
| 125 and 35 | 875 |
| 183 and 152 | 27816 |
| 143 and 63 | 9009 |
| 154 and 64 | 4928 |