Least Common Multiple (LCM) of 79 and 154
The least common multiple (LCM) of 79 and 154 is 12166.
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 79 and 154?
First, calculate the GCD of 79 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 154 = 0 remainder 79 |
| 2 | 154 ÷ 79 = 1 remainder 75 |
| 3 | 79 ÷ 75 = 1 remainder 4 |
| 4 | 75 ÷ 4 = 18 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 163 | 21679 |
| 157 and 52 | 8164 |
| 81 and 129 | 3483 |
| 110 and 71 | 7810 |
| 193 and 87 | 16791 |