Least Common Multiple (LCM) of 139 and 91
The least common multiple (LCM) of 139 and 91 is 12649.
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 91?
First, calculate the GCD of 139 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 91 = 1 remainder 48 |
| 2 | 91 ÷ 48 = 1 remainder 43 |
| 3 | 48 ÷ 43 = 1 remainder 5 |
| 4 | 43 ÷ 5 = 8 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 21 | 2037 |
| 95 and 138 | 13110 |
| 149 and 192 | 28608 |
| 22 and 176 | 176 |
| 153 and 92 | 14076 |