Least Common Multiple (LCM) of 179 and 140
The least common multiple (LCM) of 179 and 140 is 25060.
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 179 and 140?
First, calculate the GCD of 179 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 140 = 1 remainder 39 |
| 2 | 140 ÷ 39 = 3 remainder 23 |
| 3 | 39 ÷ 23 = 1 remainder 16 |
| 4 | 23 ÷ 16 = 1 remainder 7 |
| 5 | 16 ÷ 7 = 2 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 42 | 2478 |
| 100 and 72 | 1800 |
| 102 and 65 | 6630 |
| 193 and 199 | 38407 |
| 24 and 95 | 2280 |