Least Common Multiple (LCM) of 154 and 79
The least common multiple (LCM) of 154 and 79 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 154 and 79?
First, calculate the GCD of 154 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 79 = 1 remainder 75 |
| 2 | 79 ÷ 75 = 1 remainder 4 |
| 3 | 75 ÷ 4 = 18 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 47 | 2820 |
| 113 and 177 | 20001 |
| 60 and 77 | 4620 |
| 184 and 168 | 3864 |
| 145 and 38 | 5510 |