Least Common Multiple (LCM) of 154 and 69
The least common multiple (LCM) of 154 and 69 is 10626.
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 69?
First, calculate the GCD of 154 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 69 = 2 remainder 16 |
| 2 | 69 ÷ 16 = 4 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 174 | 13920 |
| 170 and 179 | 30430 |
| 19 and 80 | 1520 |
| 188 and 59 | 11092 |
| 74 and 114 | 4218 |