Least Common Multiple (LCM) of 139 and 62
The least common multiple (LCM) of 139 and 62 is 8618.
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 62?
First, calculate the GCD of 139 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 62 = 2 remainder 15 |
| 2 | 62 ÷ 15 = 4 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 98 | 15974 |
| 109 and 36 | 3924 |
| 155 and 67 | 10385 |
| 79 and 94 | 7426 |
| 14 and 198 | 1386 |