Least Common Multiple (LCM) of 155 and 72
The least common multiple (LCM) of 155 and 72 is 11160.
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 72?
First, calculate the GCD of 155 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 72 = 2 remainder 11 |
| 2 | 72 ÷ 11 = 6 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 89 | 12104 |
| 123 and 57 | 2337 |
| 177 and 136 | 24072 |
| 119 and 105 | 1785 |
| 109 and 90 | 9810 |