Least Common Multiple (LCM) of 154 and 76
The least common multiple (LCM) of 154 and 76 is 5852.
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 76?
First, calculate the GCD of 154 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 76 = 2 remainder 2 |
| 2 | 76 ÷ 2 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 121 | 4356 |
| 155 and 71 | 11005 |
| 180 and 63 | 1260 |
| 113 and 16 | 1808 |
| 57 and 95 | 285 |