Least Common Multiple (LCM) of 140 and 79
The least common multiple (LCM) of 140 and 79 is 11060.
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 140 and 79?
First, calculate the GCD of 140 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 79 = 1 remainder 61 |
| 2 | 79 ÷ 61 = 1 remainder 18 |
| 3 | 61 ÷ 18 = 3 remainder 7 |
| 4 | 18 ÷ 7 = 2 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 27 | 5130 |
| 173 and 87 | 15051 |
| 109 and 173 | 18857 |
| 135 and 61 | 8235 |
| 174 and 170 | 14790 |