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 |
|---|---|
| 80 and 167 | 13360 |
| 47 and 31 | 1457 |
| 140 and 161 | 3220 |
| 110 and 194 | 10670 |
| 12 and 89 | 1068 |