Least Common Multiple (LCM) of 155 and 78
The least common multiple (LCM) of 155 and 78 is 12090.
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 78?
First, calculate the GCD of 155 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 78 = 1 remainder 77 |
| 2 | 78 ÷ 77 = 1 remainder 1 |
| 3 | 77 ÷ 1 = 77 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 157 | 8321 |
| 52 and 76 | 988 |
| 140 and 97 | 13580 |
| 113 and 162 | 18306 |
| 200 and 119 | 23800 |