Least Common Multiple (LCM) of 170 and 139
The least common multiple (LCM) of 170 and 139 is 23630.
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 170 and 139?
First, calculate the GCD of 170 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 139 = 1 remainder 31 |
| 2 | 139 ÷ 31 = 4 remainder 15 |
| 3 | 31 ÷ 15 = 2 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 174 | 9744 |
| 184 and 127 | 23368 |
| 17 and 56 | 952 |
| 14 and 78 | 546 |
| 178 and 36 | 3204 |