Least Common Multiple (LCM) of 139 and 99
The least common multiple (LCM) of 139 and 99 is 13761.
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 99?
First, calculate the GCD of 139 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 99 = 1 remainder 40 |
| 2 | 99 ÷ 40 = 2 remainder 19 |
| 3 | 40 ÷ 19 = 2 remainder 2 |
| 4 | 19 ÷ 2 = 9 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 23 | 69 |
| 69 and 110 | 7590 |
| 30 and 87 | 870 |
| 145 and 166 | 24070 |
| 52 and 90 | 2340 |