Least Common Multiple (LCM) of 155 and 29
The least common multiple (LCM) of 155 and 29 is 4495.
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 29?
First, calculate the GCD of 155 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 29 = 5 remainder 10 |
| 2 | 29 ÷ 10 = 2 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 138 | 2760 |
| 174 and 179 | 31146 |
| 174 and 76 | 6612 |
| 103 and 134 | 13802 |
| 178 and 139 | 24742 |