Least Common Multiple (LCM) of 155 and 76
The least common multiple (LCM) of 155 and 76 is 11780.
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 155 and 76?
First, calculate the GCD of 155 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 76 = 2 remainder 3 |
| 2 | 76 ÷ 3 = 25 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 194 | 17072 |
| 188 and 143 | 26884 |
| 49 and 57 | 2793 |
| 99 and 200 | 19800 |
| 95 and 132 | 12540 |