Least Common Multiple (LCM) of 139 and 133
The least common multiple (LCM) of 139 and 133 is 18487.
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 133?
First, calculate the GCD of 139 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 133 = 1 remainder 6 |
| 2 | 133 ÷ 6 = 22 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 76 | 5548 |
| 152 and 138 | 10488 |
| 138 and 102 | 2346 |
| 53 and 195 | 10335 |
| 111 and 72 | 2664 |