Least Common Multiple (LCM) of 139 and 70
The least common multiple (LCM) of 139 and 70 is 9730.
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 70?
First, calculate the GCD of 139 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 70 = 1 remainder 69 |
| 2 | 70 ÷ 69 = 1 remainder 1 |
| 3 | 69 ÷ 1 = 69 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 37 | 3737 |
| 160 and 172 | 6880 |
| 169 and 98 | 16562 |
| 132 and 171 | 7524 |
| 19 and 31 | 589 |