Least Common Multiple (LCM) of 141 and 79
The least common multiple (LCM) of 141 and 79 is 11139.
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 141 and 79?
First, calculate the GCD of 141 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 79 = 1 remainder 62 |
| 2 | 79 ÷ 62 = 1 remainder 17 |
| 3 | 62 ÷ 17 = 3 remainder 11 |
| 4 | 17 ÷ 11 = 1 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 71 | 9798 |
| 177 and 134 | 23718 |
| 158 and 114 | 9006 |
| 71 and 109 | 7739 |
| 166 and 95 | 15770 |