Least Common Multiple (LCM) of 139 and 52
The least common multiple (LCM) of 139 and 52 is 7228.
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 52?
First, calculate the GCD of 139 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 52 = 2 remainder 35 |
| 2 | 52 ÷ 35 = 1 remainder 17 |
| 3 | 35 ÷ 17 = 2 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 48 | 624 |
| 180 and 183 | 10980 |
| 104 and 62 | 3224 |
| 25 and 122 | 3050 |
| 147 and 25 | 3675 |