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 |
|---|---|
| 123 and 105 | 4305 |
| 163 and 32 | 5216 |
| 73 and 89 | 6497 |
| 168 and 188 | 7896 |
| 194 and 55 | 10670 |