Least Common Multiple (LCM) of 152 and 155
The least common multiple (LCM) of 152 and 155 is 23560.
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 152 and 155?
First, calculate the GCD of 152 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 155 = 0 remainder 152 |
| 2 | 155 ÷ 152 = 1 remainder 3 |
| 3 | 152 ÷ 3 = 50 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 126 | 504 |
| 78 and 35 | 2730 |
| 77 and 83 | 6391 |
| 115 and 17 | 1955 |
| 21 and 128 | 2688 |